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Finding the Fourth Proportional to 306.05, 458.53 and 257.24

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Solution

The fourth proportional to 306.05, 458.53 and 257.24 is: 385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.05 : 458.53 = 257.24 : x
  2. Step 2: Convert to fraction form
    306.05/458.53 = 257.24/x
  3. Step 3: Cross multiply
    306.05x = 458.53 × 257.24
  4. Step 4: Simplify right side
    306.05x = 117,952.76
  5. Step 5: Solve for x
    x = 117,952.76/306.05
  6. Step 6: Final answer
    x = 385.41

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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.