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Finding the Fourth Proportional to 225.07, 337.60 and 96.82

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Solution

The fourth proportional to 225.07, 337.60 and 96.82 is: 145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.07 : 337.60 = 96.82 : x
  2. Step 2: Convert to fraction form
    225.07/337.60 = 96.82/x
  3. Step 3: Cross multiply
    225.07x = 337.60 × 96.82
  4. Step 4: Simplify right side
    225.07x = 32,684.26
  5. Step 5: Solve for x
    x = 32,684.26/225.07
  6. Step 6: Final answer
    x = 145.22

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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.