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Finding the Fourth Proportional to 242.72, 334.70 and 209.66

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Solution

The fourth proportional to 242.72, 334.70 and 209.66 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 334.70 = 209.66 : x
  2. Step 2: Convert to fraction form
    242.72/334.70 = 209.66/x
  3. Step 3: Cross multiply
    242.72x = 334.70 × 209.66
  4. Step 4: Simplify right side
    242.72x = 70,173.20
  5. Step 5: Solve for x
    x = 70,173.20/242.72
  6. Step 6: Final answer
    x = 289.11

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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.