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Finding the Fourth Proportional to 616.89, 851.17 and 368.31

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Solution

The fourth proportional to 616.89, 851.17 and 368.31 is: 508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.89 : 851.17 = 368.31 : x
  2. Step 2: Convert to fraction form
    616.89/851.17 = 368.31/x
  3. Step 3: Cross multiply
    616.89x = 851.17 × 368.31
  4. Step 4: Simplify right side
    616.89x = 313,494.42
  5. Step 5: Solve for x
    x = 313,494.42/616.89
  6. Step 6: Final answer
    x = 508.19

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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.