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Finding the Fourth Proportional to 178.22, 266.09 and 153.81

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Solution

The fourth proportional to 178.22, 266.09 and 153.81 is: 229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.22 : 266.09 = 153.81 : x
  2. Step 2: Convert to fraction form
    178.22/266.09 = 153.81/x
  3. Step 3: Cross multiply
    178.22x = 266.09 × 153.81
  4. Step 4: Simplify right side
    178.22x = 40,926.53
  5. Step 5: Solve for x
    x = 40,926.53/178.22
  6. Step 6: Final answer
    x = 229.65

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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.