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Finding the Fourth Proportional to 431.45, 595.65 and 307.25

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Solution

The fourth proportional to 431.45, 595.65 and 307.25 is: 424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.45 : 595.65 = 307.25 : x
  2. Step 2: Convert to fraction form
    431.45/595.65 = 307.25/x
  3. Step 3: Cross multiply
    431.45x = 595.65 × 307.25
  4. Step 4: Simplify right side
    431.45x = 183,013.46
  5. Step 5: Solve for x
    x = 183,013.46/431.45
  6. Step 6: Final answer
    x = 424.18

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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.