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Finding the Fourth Proportional to 331.33, 457.06 and 307.88

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Solution

The fourth proportional to 331.33, 457.06 and 307.88 is: 424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.33 : 457.06 = 307.88 : x
  2. Step 2: Convert to fraction form
    331.33/457.06 = 307.88/x
  3. Step 3: Cross multiply
    331.33x = 457.06 × 307.88
  4. Step 4: Simplify right side
    331.33x = 140,719.63
  5. Step 5: Solve for x
    x = 140,719.63/331.33
  6. Step 6: Final answer
    x = 424.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.