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Finding the Fourth Proportional to 242.02, 333.92 and 159.10

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Solution

The fourth proportional to 242.02, 333.92 and 159.10 is: 219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 333.92 = 159.10 : x
  2. Step 2: Convert to fraction form
    242.02/333.92 = 159.10/x
  3. Step 3: Cross multiply
    242.02x = 333.92 × 159.10
  4. Step 4: Simplify right side
    242.02x = 53,126.67
  5. Step 5: Solve for x
    x = 53,126.67/242.02
  6. Step 6: Final answer
    x = 219.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.