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Finding the Fourth Proportional to 159.56, 240.33 and 148.29

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Solution

The fourth proportional to 159.56, 240.33 and 148.29 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.56 : 240.33 = 148.29 : x
  2. Step 2: Convert to fraction form
    159.56/240.33 = 148.29/x
  3. Step 3: Cross multiply
    159.56x = 240.33 × 148.29
  4. Step 4: Simplify right side
    159.56x = 35,638.54
  5. Step 5: Solve for x
    x = 35,638.54/159.56
  6. Step 6: Final answer
    x = 223.36

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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.