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Finding the Fourth Proportional to 475.16, 654.65 and 356.95

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Solution

The fourth proportional to 475.16, 654.65 and 356.95 is: 491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.16 : 654.65 = 356.95 : x
  2. Step 2: Convert to fraction form
    475.16/654.65 = 356.95/x
  3. Step 3: Cross multiply
    475.16x = 654.65 × 356.95
  4. Step 4: Simplify right side
    475.16x = 233,674.04
  5. Step 5: Solve for x
    x = 233,674.04/475.16
  6. Step 6: Final answer
    x = 491.78

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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.