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Finding the Fourth Proportional to 243.12, 362.14 and 242.04

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Solution

The fourth proportional to 243.12, 362.14 and 242.04 is: 360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.12 : 362.14 = 242.04 : x
  2. Step 2: Convert to fraction form
    243.12/362.14 = 242.04/x
  3. Step 3: Cross multiply
    243.12x = 362.14 × 242.04
  4. Step 4: Simplify right side
    243.12x = 87,652.37
  5. Step 5: Solve for x
    x = 87,652.37/243.12
  6. Step 6: Final answer
    x = 360.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.