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Finding the Fourth Proportional to 475.85, 657.61 and 358.22

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Solution

The fourth proportional to 475.85, 657.61 and 358.22 is: 495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.85 : 657.61 = 358.22 : x
  2. Step 2: Convert to fraction form
    475.85/657.61 = 358.22/x
  3. Step 3: Cross multiply
    475.85x = 657.61 × 358.22
  4. Step 4: Simplify right side
    475.85x = 235,569.80
  5. Step 5: Solve for x
    x = 235,569.80/475.85
  6. Step 6: Final answer
    x = 495.05

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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.