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Finding the Fourth Proportional to 242.38, 333.48 and 209.58

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Solution

The fourth proportional to 242.38, 333.48 and 209.58 is: 288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.38 : 333.48 = 209.58 : x
  2. Step 2: Convert to fraction form
    242.38/333.48 = 209.58/x
  3. Step 3: Cross multiply
    242.38x = 333.48 × 209.58
  4. Step 4: Simplify right side
    242.38x = 69,890.74
  5. Step 5: Solve for x
    x = 69,890.74/242.38
  6. Step 6: Final answer
    x = 288.35

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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.