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Finding the Fourth Proportional to 253.28, 380.12 and 237.35

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Solution

The fourth proportional to 253.28, 380.12 and 237.35 is: 356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.28 : 380.12 = 237.35 : x
  2. Step 2: Convert to fraction form
    253.28/380.12 = 237.35/x
  3. Step 3: Cross multiply
    253.28x = 380.12 × 237.35
  4. Step 4: Simplify right side
    253.28x = 90,218.39
  5. Step 5: Solve for x
    x = 90,218.39/253.28
  6. Step 6: Final answer
    x = 356.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.