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Finding the Fourth Proportional to 159.03, 239.74 and 148.59

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Solution

The fourth proportional to 159.03, 239.74 and 148.59 is: 224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.03 : 239.74 = 148.59 : x
  2. Step 2: Convert to fraction form
    159.03/239.74 = 148.59/x
  3. Step 3: Cross multiply
    159.03x = 239.74 × 148.59
  4. Step 4: Simplify right side
    159.03x = 35,622.60
  5. Step 5: Solve for x
    x = 35,622.60/159.03
  6. Step 6: Final answer
    x = 224.00

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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.