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Finding the Fourth Proportional to 158.00, 235.74 and 156.78

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Solution

The fourth proportional to 158.00, 235.74 and 156.78 is: 233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.00 : 235.74 = 156.78 : x
  2. Step 2: Convert to fraction form
    158.00/235.74 = 156.78/x
  3. Step 3: Cross multiply
    158.00x = 235.74 × 156.78
  4. Step 4: Simplify right side
    158.00x = 36,958.53
  5. Step 5: Solve for x
    x = 36,958.53/158.00
  6. Step 6: Final answer
    x = 233.92

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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.