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Finding the Fourth Proportional to 202.40, 303.33 and 86.78

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Solution

The fourth proportional to 202.40, 303.33 and 86.78 is: 130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 303.33 = 86.78 : x
  2. Step 2: Convert to fraction form
    202.40/303.33 = 86.78/x
  3. Step 3: Cross multiply
    202.40x = 303.33 × 86.78
  4. Step 4: Simplify right side
    202.40x = 26,322.98
  5. Step 5: Solve for x
    x = 26,322.98/202.40
  6. Step 6: Final answer
    x = 130.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.