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Finding the Fourth Proportional to 148.93, 224.51 and 139.03

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Solution

The fourth proportional to 148.93, 224.51 and 139.03 is: 209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.93 : 224.51 = 139.03 : x
  2. Step 2: Convert to fraction form
    148.93/224.51 = 139.03/x
  3. Step 3: Cross multiply
    148.93x = 224.51 × 139.03
  4. Step 4: Simplify right side
    148.93x = 31,212.85
  5. Step 5: Solve for x
    x = 31,212.85/148.93
  6. Step 6: Final answer
    x = 209.58

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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.