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Finding the Fourth Proportional to 158.13, 237.16 and 71.45

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Solution

The fourth proportional to 158.13, 237.16 and 71.45 is: 107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.13 : 237.16 = 71.45 : x
  2. Step 2: Convert to fraction form
    158.13/237.16 = 71.45/x
  3. Step 3: Cross multiply
    158.13x = 237.16 × 71.45
  4. Step 4: Simplify right side
    158.13x = 16,943.54
  5. Step 5: Solve for x
    x = 16,943.54/158.13
  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.