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Finding the Fourth Proportional to 242.19, 331.80 and 232.94

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Solution

The fourth proportional to 242.19, 331.80 and 232.94 is: 319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.19 : 331.80 = 232.94 : x
  2. Step 2: Convert to fraction form
    242.19/331.80 = 232.94/x
  3. Step 3: Cross multiply
    242.19x = 331.80 × 232.94
  4. Step 4: Simplify right side
    242.19x = 77,289.45
  5. Step 5: Solve for x
    x = 77,289.45/242.19
  6. Step 6: Final answer
    x = 319.13

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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.