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Finding the Fourth Proportional to 279.62, 384.93 and 230.42

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Solution

The fourth proportional to 279.62, 384.93 and 230.42 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.62 : 384.93 = 230.42 : x
  2. Step 2: Convert to fraction form
    279.62/384.93 = 230.42/x
  3. Step 3: Cross multiply
    279.62x = 384.93 × 230.42
  4. Step 4: Simplify right side
    279.62x = 88,695.57
  5. Step 5: Solve for x
    x = 88,695.57/279.62
  6. Step 6: Final answer
    x = 317.20

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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.