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Finding the Fourth Proportional to 149.47, 225.34 and 139.03

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Solution

The fourth proportional to 149.47, 225.34 and 139.03 is: 209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.47 : 225.34 = 139.03 : x
  2. Step 2: Convert to fraction form
    149.47/225.34 = 139.03/x
  3. Step 3: Cross multiply
    149.47x = 225.34 × 139.03
  4. Step 4: Simplify right side
    149.47x = 31,328.11
  5. Step 5: Solve for x
    x = 31,328.11/149.47
  6. Step 6: Final answer
    x = 209.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.