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Finding the Fourth Proportional to 276.50, 414.16 and 139.32

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Solution

The fourth proportional to 276.50, 414.16 and 139.32 is: 208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.50 : 414.16 = 139.32 : x
  2. Step 2: Convert to fraction form
    276.50/414.16 = 139.32/x
  3. Step 3: Cross multiply
    276.50x = 414.16 × 139.32
  4. Step 4: Simplify right side
    276.50x = 57,700.77
  5. Step 5: Solve for x
    x = 57,700.77/276.50
  6. Step 6: Final answer
    x = 208.68

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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.