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Finding the Fourth Proportional to 159.54, 240.75 and 153.82

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Solution

The fourth proportional to 159.54, 240.75 and 153.82 is: 232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.54 : 240.75 = 153.82 : x
  2. Step 2: Convert to fraction form
    159.54/240.75 = 153.82/x
  3. Step 3: Cross multiply
    159.54x = 240.75 × 153.82
  4. Step 4: Simplify right side
    159.54x = 37,032.17
  5. Step 5: Solve for x
    x = 37,032.17/159.54
  6. Step 6: Final answer
    x = 232.11

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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.