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Finding the Fourth Proportional to 306.02, 457.11 and 257.42

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Solution

The fourth proportional to 306.02, 457.11 and 257.42 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 457.11 = 257.42 : x
  2. Step 2: Convert to fraction form
    306.02/457.11 = 257.42/x
  3. Step 3: Cross multiply
    306.02x = 457.11 × 257.42
  4. Step 4: Simplify right side
    306.02x = 117,667.97
  5. Step 5: Solve for x
    x = 117,667.97/306.02
  6. Step 6: Final answer
    x = 384.51

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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.