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Finding the Fourth Proportional to 276.18, 412.30 and 239.74

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Solution

The fourth proportional to 276.18, 412.30 and 239.74 is: 357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.18 : 412.30 = 239.74 : x
  2. Step 2: Convert to fraction form
    276.18/412.30 = 239.74/x
  3. Step 3: Cross multiply
    276.18x = 412.30 × 239.74
  4. Step 4: Simplify right side
    276.18x = 98,844.80
  5. Step 5: Solve for x
    x = 98,844.80/276.18
  6. Step 6: Final answer
    x = 357.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.