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Finding the Fourth Proportional to 159.42, 240.58 and 153.99

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Solution

The fourth proportional to 159.42, 240.58 and 153.99 is: 232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.42 : 240.58 = 153.99 : x
  2. Step 2: Convert to fraction form
    159.42/240.58 = 153.99/x
  3. Step 3: Cross multiply
    159.42x = 240.58 × 153.99
  4. Step 4: Simplify right side
    159.42x = 37,046.91
  5. Step 5: Solve for x
    x = 37,046.91/159.42
  6. Step 6: Final answer
    x = 232.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.