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Finding the Fourth Proportional to 534.91, 737.89 and 360.31

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Solution

The fourth proportional to 534.91, 737.89 and 360.31 is: 497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.91 : 737.89 = 360.31 : x
  2. Step 2: Convert to fraction form
    534.91/737.89 = 360.31/x
  3. Step 3: Cross multiply
    534.91x = 737.89 × 360.31
  4. Step 4: Simplify right side
    534.91x = 265,869.15
  5. Step 5: Solve for x
    x = 265,869.15/534.91
  6. Step 6: Final answer
    x = 497.04

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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.