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Finding the Fourth Proportional to 332.08, 500.42 and 314.32

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Solution

The fourth proportional to 332.08, 500.42 and 314.32 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.08 : 500.42 = 314.32 : x
  2. Step 2: Convert to fraction form
    332.08/500.42 = 314.32/x
  3. Step 3: Cross multiply
    332.08x = 500.42 × 314.32
  4. Step 4: Simplify right side
    332.08x = 157,292.01
  5. Step 5: Solve for x
    x = 157,292.01/332.08
  6. Step 6: Final answer
    x = 473.66

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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.