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Finding the Fourth Proportional to 278.32, 383.52 and 229.54

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Solution

The fourth proportional to 278.32, 383.52 and 229.54 is: 316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 383.52 = 229.54 : x
  2. Step 2: Convert to fraction form
    278.32/383.52 = 229.54/x
  3. Step 3: Cross multiply
    278.32x = 383.52 × 229.54
  4. Step 4: Simplify right side
    278.32x = 88,033.18
  5. Step 5: Solve for x
    x = 88,033.18/278.32
  6. Step 6: Final answer
    x = 316.30

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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.