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Finding the Fourth Proportional to 240.84, 361 and 118.84

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Solution

The fourth proportional to 240.84, 361 and 118.84 is: 178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 361 = 118.84 : x
  2. Step 2: Convert to fraction form
    240.84/361 = 118.84/x
  3. Step 3: Cross multiply
    240.84x = 361 × 118.84
  4. Step 4: Simplify right side
    240.84x = 42,901.24
  5. Step 5: Solve for x
    x = 42,901.24/240.84
  6. Step 6: Final answer
    x = 178.13

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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.