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Finding the Fourth Proportional to 242.34, 363.50 and 79.94

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Solution

The fourth proportional to 242.34, 363.50 and 79.94 is: 119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.34 : 363.50 = 79.94 : x
  2. Step 2: Convert to fraction form
    242.34/363.50 = 79.94/x
  3. Step 3: Cross multiply
    242.34x = 363.50 × 79.94
  4. Step 4: Simplify right side
    242.34x = 29,058.19
  5. Step 5: Solve for x
    x = 29,058.19/242.34
  6. Step 6: Final answer
    x = 119.91

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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.