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Finding the Fourth Proportional to 242.45, 334.02 and 167.69

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Solution

The fourth proportional to 242.45, 334.02 and 167.69 is: 231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.45 : 334.02 = 167.69 : x
  2. Step 2: Convert to fraction form
    242.45/334.02 = 167.69/x
  3. Step 3: Cross multiply
    242.45x = 334.02 × 167.69
  4. Step 4: Simplify right side
    242.45x = 56,010.14
  5. Step 5: Solve for x
    x = 56,010.14/242.45
  6. Step 6: Final answer
    x = 231.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.