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Finding the Fourth Proportional to 278.32, 416.64 and 169.76

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Solution

The fourth proportional to 278.32, 416.64 and 169.76 is: 254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.32 : 416.64 = 169.76 : x
  2. Step 2: Convert to fraction form
    278.32/416.64 = 169.76/x
  3. Step 3: Cross multiply
    278.32x = 416.64 × 169.76
  4. Step 4: Simplify right side
    278.32x = 70,728.81
  5. Step 5: Solve for x
    x = 70,728.81/278.32
  6. Step 6: Final answer
    x = 254.13

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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.