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Finding the Fourth Proportional to 202.17, 278.91 and 124.50

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Solution

The fourth proportional to 202.17, 278.91 and 124.50 is: 171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.17 : 278.91 = 124.50 : x
  2. Step 2: Convert to fraction form
    202.17/278.91 = 124.50/x
  3. Step 3: Cross multiply
    202.17x = 278.91 × 124.50
  4. Step 4: Simplify right side
    202.17x = 34,724.30
  5. Step 5: Solve for x
    x = 34,724.30/202.17
  6. Step 6: Final answer
    x = 171.76

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