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Finding the Fourth Proportional to 158.14, 235.35 and 152.38

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Solution

The fourth proportional to 158.14, 235.35 and 152.38 is: 226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 235.35 = 152.38 : x
  2. Step 2: Convert to fraction form
    158.14/235.35 = 152.38/x
  3. Step 3: Cross multiply
    158.14x = 235.35 × 152.38
  4. Step 4: Simplify right side
    158.14x = 35,862.63
  5. Step 5: Solve for x
    x = 35,862.63/158.14
  6. Step 6: Final answer
    x = 226.78

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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.