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Finding the Fourth Proportional to 178.44, 266.27 and 157.94

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Solution

The fourth proportional to 178.44, 266.27 and 157.94 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 266.27 = 157.94 : x
  2. Step 2: Convert to fraction form
    178.44/266.27 = 157.94/x
  3. Step 3: Cross multiply
    178.44x = 266.27 × 157.94
  4. Step 4: Simplify right side
    178.44x = 42,053.75
  5. Step 5: Solve for x
    x = 42,053.75/178.44
  6. Step 6: Final answer
    x = 235.68

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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.