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Finding the Fourth Proportional to 475.79, 656.60 and 263.11

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Solution

The fourth proportional to 475.79, 656.60 and 263.11 is: 363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.79 : 656.60 = 263.11 : x
  2. Step 2: Convert to fraction form
    475.79/656.60 = 263.11/x
  3. Step 3: Cross multiply
    475.79x = 656.60 × 263.11
  4. Step 4: Simplify right side
    475.79x = 172,758.03
  5. Step 5: Solve for x
    x = 172,758.03/475.79
  6. Step 6: Final answer
    x = 363.10

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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.