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Finding the Fourth Proportional to 178.95, 269.80 and 176.65

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Solution

The fourth proportional to 178.95, 269.80 and 176.65 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.95 : 269.80 = 176.65 : x
  2. Step 2: Convert to fraction form
    178.95/269.80 = 176.65/x
  3. Step 3: Cross multiply
    178.95x = 269.80 × 176.65
  4. Step 4: Simplify right side
    178.95x = 47,657.94
  5. Step 5: Solve for x
    x = 47,657.94/178.95
  6. Step 6: Final answer
    x = 266.32

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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.