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Finding the Fourth Proportional to 225.07, 337.05 and 186.26

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Solution

The fourth proportional to 225.07, 337.05 and 186.26 is: 278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.07 : 337.05 = 186.26 : x
  2. Step 2: Convert to fraction form
    225.07/337.05 = 186.26/x
  3. Step 3: Cross multiply
    225.07x = 337.05 × 186.26
  4. Step 4: Simplify right side
    225.07x = 62,780.53
  5. Step 5: Solve for x
    x = 62,780.53/225.07
  6. Step 6: Final answer
    x = 278.94

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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.