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Finding the Fourth Proportional to 279.08, 384.66 and 216.68

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Solution

The fourth proportional to 279.08, 384.66 and 216.68 is: 298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.08 : 384.66 = 216.68 : x
  2. Step 2: Convert to fraction form
    279.08/384.66 = 216.68/x
  3. Step 3: Cross multiply
    279.08x = 384.66 × 216.68
  4. Step 4: Simplify right side
    279.08x = 83,348.13
  5. Step 5: Solve for x
    x = 83,348.13/279.08
  6. Step 6: Final answer
    x = 298.65

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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.