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Finding the Fourth Proportional to 242.30, 331.96 and 233.08

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Solution

The fourth proportional to 242.30, 331.96 and 233.08 is: 319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.30 : 331.96 = 233.08 : x
  2. Step 2: Convert to fraction form
    242.30/331.96 = 233.08/x
  3. Step 3: Cross multiply
    242.30x = 331.96 × 233.08
  4. Step 4: Simplify right side
    242.30x = 77,373.24
  5. Step 5: Solve for x
    x = 77,373.24/242.30
  6. Step 6: Final answer
    x = 319.33

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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.