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Finding the Fourth Proportional to 178.94, 269.47 and 157.50

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Solution

The fourth proportional to 178.94, 269.47 and 157.50 is: 237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.94 : 269.47 = 157.50 : x
  2. Step 2: Convert to fraction form
    178.94/269.47 = 157.50/x
  3. Step 3: Cross multiply
    178.94x = 269.47 × 157.50
  4. Step 4: Simplify right side
    178.94x = 42,441.53
  5. Step 5: Solve for x
    x = 42,441.53/178.94
  6. Step 6: Final answer
    x = 237.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.