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Finding the Fourth Proportional to 158.21, 237.22 and 71.46

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Solution

The fourth proportional to 158.21, 237.22 and 71.46 is: 107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.21 : 237.22 = 71.46 : x
  2. Step 2: Convert to fraction form
    158.21/237.22 = 71.46/x
  3. Step 3: Cross multiply
    158.21x = 237.22 × 71.46
  4. Step 4: Simplify right side
    158.21x = 16,951.74
  5. Step 5: Solve for x
    x = 16,951.74/158.21
  6. Step 6: Final answer
    x = 107.15

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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.