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Finding the Fourth Proportional to 242.90, 334.43 and 209.69

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Solution

The fourth proportional to 242.90, 334.43 and 209.69 is: 288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.90 : 334.43 = 209.69 : x
  2. Step 2: Convert to fraction form
    242.90/334.43 = 209.69/x
  3. Step 3: Cross multiply
    242.90x = 334.43 × 209.69
  4. Step 4: Simplify right side
    242.90x = 70,125.95
  5. Step 5: Solve for x
    x = 70,125.95/242.90
  6. Step 6: Final answer
    x = 288.70

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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.