Home / 278.24-417.13-170.11

Finding the Fourth Proportional to 278.24, 417.13 and 170.11

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Solution

The fourth proportional to 278.24, 417.13 and 170.11 is: 255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.24 : 417.13 = 170.11 : x
  2. Step 2: Convert to fraction form
    278.24/417.13 = 170.11/x
  3. Step 3: Cross multiply
    278.24x = 417.13 × 170.11
  4. Step 4: Simplify right side
    278.24x = 70,956.52
  5. Step 5: Solve for x
    x = 70,956.52/278.24
  6. Step 6: Final answer
    x = 255.02

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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.