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Finding the Fourth Proportional to 148.36, 223.67 and 139.08

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Solution

The fourth proportional to 148.36, 223.67 and 139.08 is: 209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.36 : 223.67 = 139.08 : x
  2. Step 2: Convert to fraction form
    148.36/223.67 = 139.08/x
  3. Step 3: Cross multiply
    148.36x = 223.67 × 139.08
  4. Step 4: Simplify right side
    148.36x = 31,108.02
  5. Step 5: Solve for x
    x = 31,108.02/148.36
  6. Step 6: Final answer
    x = 209.68

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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.