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Finding the Fourth Proportional to 451.12, 679.14 and 307.76

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Solution

The fourth proportional to 451.12, 679.14 and 307.76 is: 463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.12 : 679.14 = 307.76 : x
  2. Step 2: Convert to fraction form
    451.12/679.14 = 307.76/x
  3. Step 3: Cross multiply
    451.12x = 679.14 × 307.76
  4. Step 4: Simplify right side
    451.12x = 209,012.13
  5. Step 5: Solve for x
    x = 209,012.13/451.12
  6. Step 6: Final answer
    x = 463.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.