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Finding the Fourth Proportional to 307.96, 458.27 and 306.52

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Solution

The fourth proportional to 307.96, 458.27 and 306.52 is: 456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.96 : 458.27 = 306.52 : x
  2. Step 2: Convert to fraction form
    307.96/458.27 = 306.52/x
  3. Step 3: Cross multiply
    307.96x = 458.27 × 306.52
  4. Step 4: Simplify right side
    307.96x = 140,468.92
  5. Step 5: Solve for x
    x = 140,468.92/307.96
  6. Step 6: Final answer
    x = 456.13

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