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Finding the Fourth Proportional to 279.57, 384.90 and 217.32

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Solution

The fourth proportional to 279.57, 384.90 and 217.32 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.57 : 384.90 = 217.32 : x
  2. Step 2: Convert to fraction form
    279.57/384.90 = 217.32/x
  3. Step 3: Cross multiply
    279.57x = 384.90 × 217.32
  4. Step 4: Simplify right side
    279.57x = 83,646.47
  5. Step 5: Solve for x
    x = 83,646.47/279.57
  6. Step 6: Final answer
    x = 299.20

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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.