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Finding the Fourth Proportional to 149.51, 223.17 and 139.07

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Solution

The fourth proportional to 149.51, 223.17 and 139.07 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 223.17 = 139.07 : x
  2. Step 2: Convert to fraction form
    149.51/223.17 = 139.07/x
  3. Step 3: Cross multiply
    149.51x = 223.17 × 139.07
  4. Step 4: Simplify right side
    149.51x = 31,034.61
  5. Step 5: Solve for x
    x = 31,034.61/149.51
  6. Step 6: Final answer
    x = 207.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.