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Finding the Fourth Proportional to 380.52, 524.84 and 231.14

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Solution

The fourth proportional to 380.52, 524.84 and 231.14 is: 318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 524.84 = 231.14 : x
  2. Step 2: Convert to fraction form
    380.52/524.84 = 231.14/x
  3. Step 3: Cross multiply
    380.52x = 524.84 × 231.14
  4. Step 4: Simplify right side
    380.52x = 121,311.67
  5. Step 5: Solve for x
    x = 121,311.67/380.52
  6. Step 6: Final answer
    x = 318.80

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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.