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Finding the Fourth Proportional to 278.84, 385.28 and 229.68

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Solution

The fourth proportional to 278.84, 385.28 and 229.68 is: 317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 385.28 = 229.68 : x
  2. Step 2: Convert to fraction form
    278.84/385.28 = 229.68/x
  3. Step 3: Cross multiply
    278.84x = 385.28 × 229.68
  4. Step 4: Simplify right side
    278.84x = 88,491.11
  5. Step 5: Solve for x
    x = 88,491.11/278.84
  6. Step 6: Final answer
    x = 317.35

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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.