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Finding the Fourth Proportional to 242.34, 362.89 and 144.60

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Solution

The fourth proportional to 242.34, 362.89 and 144.60 is: 216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.34 : 362.89 = 144.60 : x
  2. Step 2: Convert to fraction form
    242.34/362.89 = 144.60/x
  3. Step 3: Cross multiply
    242.34x = 362.89 × 144.60
  4. Step 4: Simplify right side
    242.34x = 52,473.89
  5. Step 5: Solve for x
    x = 52,473.89/242.34
  6. Step 6: Final answer
    x = 216.53

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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.