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Finding the Fourth Proportional to 242, 363.40 and 229.84

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Solution

The fourth proportional to 242, 363.40 and 229.84 is: 345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242 : 363.40 = 229.84 : x
  2. Step 2: Convert to fraction form
    242/363.40 = 229.84/x
  3. Step 3: Cross multiply
    242x = 363.40 × 229.84
  4. Step 4: Simplify right side
    242x = 83,523.86
  5. Step 5: Solve for x
    x = 83,523.86/242
  6. Step 6: Final answer
    x = 345.14

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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.