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Finding the Fourth Proportional to 159.40, 239.28 and 105.40

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Solution

The fourth proportional to 159.40, 239.28 and 105.40 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.40 : 239.28 = 105.40 : x
  2. Step 2: Convert to fraction form
    159.40/239.28 = 105.40/x
  3. Step 3: Cross multiply
    159.40x = 239.28 × 105.40
  4. Step 4: Simplify right side
    159.40x = 25,220.11
  5. Step 5: Solve for x
    x = 25,220.11/159.40
  6. Step 6: Final answer
    x = 158.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.