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Finding the Fourth Proportional to 253.88, 378.76 and 240.20

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Solution

The fourth proportional to 253.88, 378.76 and 240.20 is: 358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.88 : 378.76 = 240.20 : x
  2. Step 2: Convert to fraction form
    253.88/378.76 = 240.20/x
  3. Step 3: Cross multiply
    253.88x = 378.76 × 240.20
  4. Step 4: Simplify right side
    253.88x = 90,978.15
  5. Step 5: Solve for x
    x = 90,978.15/253.88
  6. Step 6: Final answer
    x = 358.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.