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Finding the Fourth Proportional to 279.76, 385.76 and 192.24

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Solution

The fourth proportional to 279.76, 385.76 and 192.24 is: 265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 385.76 = 192.24 : x
  2. Step 2: Convert to fraction form
    279.76/385.76 = 192.24/x
  3. Step 3: Cross multiply
    279.76x = 385.76 × 192.24
  4. Step 4: Simplify right side
    279.76x = 74,158.50
  5. Step 5: Solve for x
    x = 74,158.50/279.76
  6. Step 6: Final answer
    x = 265.08

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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.