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Finding the Fourth Proportional to 616.97, 851.46 and 368.30

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Solution

The fourth proportional to 616.97, 851.46 and 368.30 is: 508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.97 : 851.46 = 368.30 : x
  2. Step 2: Convert to fraction form
    616.97/851.46 = 368.30/x
  3. Step 3: Cross multiply
    616.97x = 851.46 × 368.30
  4. Step 4: Simplify right side
    616.97x = 313,588.46
  5. Step 5: Solve for x
    x = 313,588.46/616.97
  6. Step 6: Final answer
    x = 508.28

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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.