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Finding the Fourth Proportional to 148.18, 223.30 and 139.06

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Solution

The fourth proportional to 148.18, 223.30 and 139.06 is: 209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.18 : 223.30 = 139.06 : x
  2. Step 2: Convert to fraction form
    148.18/223.30 = 139.06/x
  3. Step 3: Cross multiply
    148.18x = 223.30 × 139.06
  4. Step 4: Simplify right side
    148.18x = 31,052.10
  5. Step 5: Solve for x
    x = 31,052.10/148.18
  6. Step 6: Final answer
    x = 209.56

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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.