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Finding the Fourth Proportional to 279.14, 384.93 and 216.86

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Solution

The fourth proportional to 279.14, 384.93 and 216.86 is: 299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 384.93 = 216.86 : x
  2. Step 2: Convert to fraction form
    279.14/384.93 = 216.86/x
  3. Step 3: Cross multiply
    279.14x = 384.93 × 216.86
  4. Step 4: Simplify right side
    279.14x = 83,474.00
  5. Step 5: Solve for x
    x = 83,474.00/279.14
  6. Step 6: Final answer
    x = 299.05

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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.