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Finding the Fourth Proportional to 261.32, 360.78 and 199.04

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Solution

The fourth proportional to 261.32, 360.78 and 199.04 is: 274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.32 : 360.78 = 199.04 : x
  2. Step 2: Convert to fraction form
    261.32/360.78 = 199.04/x
  3. Step 3: Cross multiply
    261.32x = 360.78 × 199.04
  4. Step 4: Simplify right side
    261.32x = 71,809.65
  5. Step 5: Solve for x
    x = 71,809.65/261.32
  6. Step 6: Final answer
    x = 274.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.