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Finding the Fourth Proportional to 276.08, 380.98 and 158.08

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Solution

The fourth proportional to 276.08, 380.98 and 158.08 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.08 : 380.98 = 158.08 : x
  2. Step 2: Convert to fraction form
    276.08/380.98 = 158.08/x
  3. Step 3: Cross multiply
    276.08x = 380.98 × 158.08
  4. Step 4: Simplify right side
    276.08x = 60,225.32
  5. Step 5: Solve for x
    x = 60,225.32/276.08
  6. Step 6: Final answer
    x = 218.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.