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Finding the Fourth Proportional to 242.50, 363.75 and 98.32

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Solution

The fourth proportional to 242.50, 363.75 and 98.32 is: 147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.50 : 363.75 = 98.32 : x
  2. Step 2: Convert to fraction form
    242.50/363.75 = 98.32/x
  3. Step 3: Cross multiply
    242.50x = 363.75 × 98.32
  4. Step 4: Simplify right side
    242.50x = 35,763.90
  5. Step 5: Solve for x
    x = 35,763.90/242.50
  6. Step 6: Final answer
    x = 147.48

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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.