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Finding the Fourth Proportional to 305.92, 458.80 and 113.52

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Solution

The fourth proportional to 305.92, 458.80 and 113.52 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.92 : 458.80 = 113.52 : x
  2. Step 2: Convert to fraction form
    305.92/458.80 = 113.52/x
  3. Step 3: Cross multiply
    305.92x = 458.80 × 113.52
  4. Step 4: Simplify right side
    305.92x = 52,082.98
  5. Step 5: Solve for x
    x = 52,082.98/305.92
  6. Step 6: Final answer
    x = 170.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.