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Finding the Fourth Proportional to 158.08, 235.86 and 142.75

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Solution

The fourth proportional to 158.08, 235.86 and 142.75 is: 212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.08 : 235.86 = 142.75 : x
  2. Step 2: Convert to fraction form
    158.08/235.86 = 142.75/x
  3. Step 3: Cross multiply
    158.08x = 235.86 × 142.75
  4. Step 4: Simplify right side
    158.08x = 33,667.12
  5. Step 5: Solve for x
    x = 33,667.12/158.08
  6. Step 6: Final answer
    x = 212.98

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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.