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Finding the Fourth Proportional to 278.46, 417.36 and 141.57

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Solution

The fourth proportional to 278.46, 417.36 and 141.57 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.46 : 417.36 = 141.57 : x
  2. Step 2: Convert to fraction form
    278.46/417.36 = 141.57/x
  3. Step 3: Cross multiply
    278.46x = 417.36 × 141.57
  4. Step 4: Simplify right side
    278.46x = 59,085.66
  5. Step 5: Solve for x
    x = 59,085.66/278.46
  6. Step 6: Final answer
    x = 212.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.