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Finding the Fourth Proportional to 332.38, 456.66 and 266.76

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Solution

The fourth proportional to 332.38, 456.66 and 266.76 is: 366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.38 : 456.66 = 266.76 : x
  2. Step 2: Convert to fraction form
    332.38/456.66 = 266.76/x
  3. Step 3: Cross multiply
    332.38x = 456.66 × 266.76
  4. Step 4: Simplify right side
    332.38x = 121,818.62
  5. Step 5: Solve for x
    x = 121,818.62/332.38
  6. Step 6: Final answer
    x = 366.50

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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.