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Finding the Fourth Proportional to 158.12, 235.96 and 145.94

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Solution

The fourth proportional to 158.12, 235.96 and 145.94 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.12 : 235.96 = 145.94 : x
  2. Step 2: Convert to fraction form
    158.12/235.96 = 145.94/x
  3. Step 3: Cross multiply
    158.12x = 235.96 × 145.94
  4. Step 4: Simplify right side
    158.12x = 34,436.00
  5. Step 5: Solve for x
    x = 34,436.00/158.12
  6. Step 6: Final answer
    x = 217.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.