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Finding the Fourth Proportional to 240.12, 359.68 and 143.88

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Solution

The fourth proportional to 240.12, 359.68 and 143.88 is: 215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.12 : 359.68 = 143.88 : x
  2. Step 2: Convert to fraction form
    240.12/359.68 = 143.88/x
  3. Step 3: Cross multiply
    240.12x = 359.68 × 143.88
  4. Step 4: Simplify right side
    240.12x = 51,750.76
  5. Step 5: Solve for x
    x = 51,750.76/240.12
  6. Step 6: Final answer
    x = 215.52

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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.