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Finding the Fourth Proportional to 158.44, 237.63 and 86.20

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Solution

The fourth proportional to 158.44, 237.63 and 86.20 is: 129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.44 : 237.63 = 86.20 : x
  2. Step 2: Convert to fraction form
    158.44/237.63 = 86.20/x
  3. Step 3: Cross multiply
    158.44x = 237.63 × 86.20
  4. Step 4: Simplify right side
    158.44x = 20,483.71
  5. Step 5: Solve for x
    x = 20,483.71/158.44
  6. Step 6: Final answer
    x = 129.28

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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.