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Finding the Fourth Proportional to 178.42, 269.16 and 178.06

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Solution

The fourth proportional to 178.42, 269.16 and 178.06 is: 268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.42 : 269.16 = 178.06 : x
  2. Step 2: Convert to fraction form
    178.42/269.16 = 178.06/x
  3. Step 3: Cross multiply
    178.42x = 269.16 × 178.06
  4. Step 4: Simplify right side
    178.42x = 47,925.74
  5. Step 5: Solve for x
    x = 47,925.74/178.42
  6. Step 6: Final answer
    x = 268.61

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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.