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Finding the Fourth Proportional to 474.38, 711.08 and 200.32

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Solution

The fourth proportional to 474.38, 711.08 and 200.32 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.38 : 711.08 = 200.32 : x
  2. Step 2: Convert to fraction form
    474.38/711.08 = 200.32/x
  3. Step 3: Cross multiply
    474.38x = 711.08 × 200.32
  4. Step 4: Simplify right side
    474.38x = 142,445.52
  5. Step 5: Solve for x
    x = 142,445.52/474.38
  6. Step 6: Final answer
    x = 300.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.