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Finding the Fourth Proportional to 202.40, 279.30 and 115.06

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Solution

The fourth proportional to 202.40, 279.30 and 115.06 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 279.30 = 115.06 : x
  2. Step 2: Convert to fraction form
    202.40/279.30 = 115.06/x
  3. Step 3: Cross multiply
    202.40x = 279.30 × 115.06
  4. Step 4: Simplify right side
    202.40x = 32,136.52
  5. Step 5: Solve for x
    x = 32,136.52/202.40
  6. Step 6: Final answer
    x = 158.78

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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.