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Finding the Fourth Proportional to 202.99, 279.95 and 171.98

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Solution

The fourth proportional to 202.99, 279.95 and 171.98 is: 237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 279.95 = 171.98 : x
  2. Step 2: Convert to fraction form
    202.99/279.95 = 171.98/x
  3. Step 3: Cross multiply
    202.99x = 279.95 × 171.98
  4. Step 4: Simplify right side
    202.99x = 48,143.54
  5. Step 5: Solve for x
    x = 48,143.54/202.99
  6. Step 6: Final answer
    x = 237.18

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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.