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Finding the Fourth Proportional to 279.28, 420.59 and 243.64

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Solution

The fourth proportional to 279.28, 420.59 and 243.64 is: 366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.28 : 420.59 = 243.64 : x
  2. Step 2: Convert to fraction form
    279.28/420.59 = 243.64/x
  3. Step 3: Cross multiply
    279.28x = 420.59 × 243.64
  4. Step 4: Simplify right side
    279.28x = 102,472.55
  5. Step 5: Solve for x
    x = 102,472.55/279.28
  6. Step 6: Final answer
    x = 366.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.