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Finding the Fourth Proportional to 159.57, 240.30 and 148.77

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Solution

The fourth proportional to 159.57, 240.30 and 148.77 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.57 : 240.30 = 148.77 : x
  2. Step 2: Convert to fraction form
    159.57/240.30 = 148.77/x
  3. Step 3: Cross multiply
    159.57x = 240.30 × 148.77
  4. Step 4: Simplify right side
    159.57x = 35,749.43
  5. Step 5: Solve for x
    x = 35,749.43/159.57
  6. Step 6: Final answer
    x = 224.04

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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.