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Finding the Fourth Proportional to 237.62, 328.59 and 203.15

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Solution

The fourth proportional to 237.62, 328.59 and 203.15 is: 280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.62 : 328.59 = 203.15 : x
  2. Step 2: Convert to fraction form
    237.62/328.59 = 203.15/x
  3. Step 3: Cross multiply
    237.62x = 328.59 × 203.15
  4. Step 4: Simplify right side
    237.62x = 66,751.42
  5. Step 5: Solve for x
    x = 66,751.42/237.62
  6. Step 6: Final answer
    x = 280.92

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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.