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Finding the Fourth Proportional to 242.40, 363.46 and 98

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Solution

The fourth proportional to 242.40, 363.46 and 98 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.40 : 363.46 = 98 : x
  2. Step 2: Convert to fraction form
    242.40/363.46 = 98/x
  3. Step 3: Cross multiply
    242.40x = 363.46 × 98
  4. Step 4: Simplify right side
    242.40x = 35,619.08
  5. Step 5: Solve for x
    x = 35,619.08/242.40
  6. Step 6: Final answer
    x = 146.94

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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.