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Finding the Fourth Proportional to 178.41, 269.49 and 176.64

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Solution

The fourth proportional to 178.41, 269.49 and 176.64 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.41 : 269.49 = 176.64 : x
  2. Step 2: Convert to fraction form
    178.41/269.49 = 176.64/x
  3. Step 3: Cross multiply
    178.41x = 269.49 × 176.64
  4. Step 4: Simplify right side
    178.41x = 47,602.71
  5. Step 5: Solve for x
    x = 47,602.71/178.41
  6. Step 6: Final answer
    x = 266.82

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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.