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Finding the Fourth Proportional to 306.11, 456.92 and 263.05

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Solution

The fourth proportional to 306.11, 456.92 and 263.05 is: 392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.11 : 456.92 = 263.05 : x
  2. Step 2: Convert to fraction form
    306.11/456.92 = 263.05/x
  3. Step 3: Cross multiply
    306.11x = 456.92 × 263.05
  4. Step 4: Simplify right side
    306.11x = 120,192.81
  5. Step 5: Solve for x
    x = 120,192.81/306.11
  6. Step 6: Final answer
    x = 392.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.