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Finding the Fourth Proportional to 500.22, 689.98 and 358.16

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Solution

The fourth proportional to 500.22, 689.98 and 358.16 is: 494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.22 : 689.98 = 358.16 : x
  2. Step 2: Convert to fraction form
    500.22/689.98 = 358.16/x
  3. Step 3: Cross multiply
    500.22x = 689.98 × 358.16
  4. Step 4: Simplify right side
    500.22x = 247,123.24
  5. Step 5: Solve for x
    x = 247,123.24/500.22
  6. Step 6: Final answer
    x = 494.03

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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.