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Finding the Fourth Proportional to 331.50, 457.66 and 254.02

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Solution

The fourth proportional to 331.50, 457.66 and 254.02 is: 350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.50 : 457.66 = 254.02 : x
  2. Step 2: Convert to fraction form
    331.50/457.66 = 254.02/x
  3. Step 3: Cross multiply
    331.50x = 457.66 × 254.02
  4. Step 4: Simplify right side
    331.50x = 116,254.79
  5. Step 5: Solve for x
    x = 116,254.79/331.50
  6. Step 6: Final answer
    x = 350.69

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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.