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Finding the Fourth Proportional to 475.61, 656.32 and 265.78

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Solution

The fourth proportional to 475.61, 656.32 and 265.78 is: 366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.61 : 656.32 = 265.78 : x
  2. Step 2: Convert to fraction form
    475.61/656.32 = 265.78/x
  3. Step 3: Cross multiply
    475.61x = 656.32 × 265.78
  4. Step 4: Simplify right side
    475.61x = 174,436.07
  5. Step 5: Solve for x
    x = 174,436.07/475.61
  6. Step 6: Final answer
    x = 366.77

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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.