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Finding the Fourth Proportional to 173.47, 238.14 and 148.87

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Solution

The fourth proportional to 173.47, 238.14 and 148.87 is: 204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.47 : 238.14 = 148.87 : x
  2. Step 2: Convert to fraction form
    173.47/238.14 = 148.87/x
  3. Step 3: Cross multiply
    173.47x = 238.14 × 148.87
  4. Step 4: Simplify right side
    173.47x = 35,450.75
  5. Step 5: Solve for x
    x = 35,450.75/173.47
  6. Step 6: Final answer
    x = 204.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.