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Finding the Fourth Proportional to 462.75, 639.14 and 307.23

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Solution

The fourth proportional to 462.75, 639.14 and 307.23 is: 424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.75 : 639.14 = 307.23 : x
  2. Step 2: Convert to fraction form
    462.75/639.14 = 307.23/x
  3. Step 3: Cross multiply
    462.75x = 639.14 × 307.23
  4. Step 4: Simplify right side
    462.75x = 196,362.98
  5. Step 5: Solve for x
    x = 196,362.98/462.75
  6. Step 6: Final answer
    x = 424.34

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Find fourth proportional to 231.38, 319.57 and 153.62
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.