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Finding the Fourth Proportional to 178.93, 268.59 and 158.50

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Solution

The fourth proportional to 178.93, 268.59 and 158.50 is: 237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.93 : 268.59 = 158.50 : x
  2. Step 2: Convert to fraction form
    178.93/268.59 = 158.50/x
  3. Step 3: Cross multiply
    178.93x = 268.59 × 158.50
  4. Step 4: Simplify right side
    178.93x = 42,571.52
  5. Step 5: Solve for x
    x = 42,571.52/178.93
  6. Step 6: Final answer
    x = 237.92

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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.