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Finding the Fourth Proportional to 225.47, 310.88 and 138.06

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Solution

The fourth proportional to 225.47, 310.88 and 138.06 is: 190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.47 : 310.88 = 138.06 : x
  2. Step 2: Convert to fraction form
    225.47/310.88 = 138.06/x
  3. Step 3: Cross multiply
    225.47x = 310.88 × 138.06
  4. Step 4: Simplify right side
    225.47x = 42,919.40
  5. Step 5: Solve for x
    x = 42,919.40/225.47
  6. Step 6: Final answer
    x = 190.36

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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.