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Finding the Fourth Proportional to 159.96, 240.21 and 142.64

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Solution

The fourth proportional to 159.96, 240.21 and 142.64 is: 214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.96 : 240.21 = 142.64 : x
  2. Step 2: Convert to fraction form
    159.96/240.21 = 142.64/x
  3. Step 3: Cross multiply
    159.96x = 240.21 × 142.64
  4. Step 4: Simplify right side
    159.96x = 34,262.35
  5. Step 5: Solve for x
    x = 34,262.35/159.96
  6. Step 6: Final answer
    x = 214.19

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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.