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Finding the Fourth Proportional to 242.91, 333.75 and 193.70

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Solution

The fourth proportional to 242.91, 333.75 and 193.70 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.91 : 333.75 = 193.70 : x
  2. Step 2: Convert to fraction form
    242.91/333.75 = 193.70/x
  3. Step 3: Cross multiply
    242.91x = 333.75 × 193.70
  4. Step 4: Simplify right side
    242.91x = 64,648.21
  5. Step 5: Solve for x
    x = 64,648.21/242.91
  6. Step 6: Final answer
    x = 266.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.