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Finding the Fourth Proportional to 149.78, 225.82 and 139.34

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Solution

The fourth proportional to 149.78, 225.82 and 139.34 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 225.82 = 139.34 : x
  2. Step 2: Convert to fraction form
    149.78/225.82 = 139.34/x
  3. Step 3: Cross multiply
    149.78x = 225.82 × 139.34
  4. Step 4: Simplify right side
    149.78x = 31,465.76
  5. Step 5: Solve for x
    x = 31,465.76/149.78
  6. Step 6: Final answer
    x = 210.08

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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.