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Finding the Fourth Proportional to 306.12, 458.53 and 232.18

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Solution

The fourth proportional to 306.12, 458.53 and 232.18 is: 347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.12 : 458.53 = 232.18 : x
  2. Step 2: Convert to fraction form
    306.12/458.53 = 232.18/x
  3. Step 3: Cross multiply
    306.12x = 458.53 × 232.18
  4. Step 4: Simplify right side
    306.12x = 106,461.50
  5. Step 5: Solve for x
    x = 106,461.50/306.12
  6. Step 6: Final answer
    x = 347.78

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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.