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Finding the Fourth Proportional to 242.72, 334.91 and 169.01

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Solution

The fourth proportional to 242.72, 334.91 and 169.01 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 334.91 = 169.01 : x
  2. Step 2: Convert to fraction form
    242.72/334.91 = 169.01/x
  3. Step 3: Cross multiply
    242.72x = 334.91 × 169.01
  4. Step 4: Simplify right side
    242.72x = 56,604.40
  5. Step 5: Solve for x
    x = 56,604.40/242.72
  6. Step 6: Final answer
    x = 233.21

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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.