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Finding the Fourth Proportional to 240.84, 359.71 and 199.53

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Solution

The fourth proportional to 240.84, 359.71 and 199.53 is: 298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 359.71 = 199.53 : x
  2. Step 2: Convert to fraction form
    240.84/359.71 = 199.53/x
  3. Step 3: Cross multiply
    240.84x = 359.71 × 199.53
  4. Step 4: Simplify right side
    240.84x = 71,772.44
  5. Step 5: Solve for x
    x = 71,772.44/240.84
  6. Step 6: Final answer
    x = 298.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.