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Finding the Fourth Proportional to 279.24, 385.86 and 242.28

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Solution

The fourth proportional to 279.24, 385.86 and 242.28 is: 334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.24 : 385.86 = 242.28 : x
  2. Step 2: Convert to fraction form
    279.24/385.86 = 242.28/x
  3. Step 3: Cross multiply
    279.24x = 385.86 × 242.28
  4. Step 4: Simplify right side
    279.24x = 93,486.16
  5. Step 5: Solve for x
    x = 93,486.16/279.24
  6. Step 6: Final answer
    x = 334.79

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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.