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Finding the Fourth Proportional to 240.40, 359.68 and 142.95

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Solution

The fourth proportional to 240.40, 359.68 and 142.95 is: 213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.40 : 359.68 = 142.95 : x
  2. Step 2: Convert to fraction form
    240.40/359.68 = 142.95/x
  3. Step 3: Cross multiply
    240.40x = 359.68 × 142.95
  4. Step 4: Simplify right side
    240.40x = 51,416.26
  5. Step 5: Solve for x
    x = 51,416.26/240.40
  6. Step 6: Final answer
    x = 213.88

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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.