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Finding the Fourth Proportional to 279.08, 384.95 and 185.79

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Solution

The fourth proportional to 279.08, 384.95 and 185.79 is: 256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.08 : 384.95 = 185.79 : x
  2. Step 2: Convert to fraction form
    279.08/384.95 = 185.79/x
  3. Step 3: Cross multiply
    279.08x = 384.95 × 185.79
  4. Step 4: Simplify right side
    279.08x = 71,521.77
  5. Step 5: Solve for x
    x = 71,521.77/279.08
  6. Step 6: Final answer
    x = 256.28

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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.