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Finding the Fourth Proportional to 261.60, 360.96 and 151.05

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Solution

The fourth proportional to 261.60, 360.96 and 151.05 is: 208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 360.96 = 151.05 : x
  2. Step 2: Convert to fraction form
    261.60/360.96 = 151.05/x
  3. Step 3: Cross multiply
    261.60x = 360.96 × 151.05
  4. Step 4: Simplify right side
    261.60x = 54,523.01
  5. Step 5: Solve for x
    x = 54,523.01/261.60
  6. Step 6: Final answer
    x = 208.42

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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.