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Finding the Fourth Proportional to 253.68, 382.08 and 231.52

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Solution

The fourth proportional to 253.68, 382.08 and 231.52 is: 348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.68 : 382.08 = 231.52 : x
  2. Step 2: Convert to fraction form
    253.68/382.08 = 231.52/x
  3. Step 3: Cross multiply
    253.68x = 382.08 × 231.52
  4. Step 4: Simplify right side
    253.68x = 88,459.16
  5. Step 5: Solve for x
    x = 88,459.16/253.68
  6. Step 6: Final answer
    x = 348.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.