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Finding the Fourth Proportional to 242.33, 332.67 and 209.12

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Solution

The fourth proportional to 242.33, 332.67 and 209.12 is: 287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.33 : 332.67 = 209.12 : x
  2. Step 2: Convert to fraction form
    242.33/332.67 = 209.12/x
  3. Step 3: Cross multiply
    242.33x = 332.67 × 209.12
  4. Step 4: Simplify right side
    242.33x = 69,567.07
  5. Step 5: Solve for x
    x = 69,567.07/242.33
  6. Step 6: Final answer
    x = 287.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.