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Finding the Fourth Proportional to 408, 560.85 and 358.32

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Solution

The fourth proportional to 408, 560.85 and 358.32 is: 492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 560.85 = 358.32 : x
  2. Step 2: Convert to fraction form
    408/560.85 = 358.32/x
  3. Step 3: Cross multiply
    408x = 560.85 × 358.32
  4. Step 4: Simplify right side
    408x = 200,963.77
  5. Step 5: Solve for x
    x = 200,963.77/408
  6. Step 6: Final answer
    x = 492.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.