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Finding the Fourth Proportional to 163.98, 247.07 and 148.57

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Solution

The fourth proportional to 163.98, 247.07 and 148.57 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 247.07 = 148.57 : x
  2. Step 2: Convert to fraction form
    163.98/247.07 = 148.57/x
  3. Step 3: Cross multiply
    163.98x = 247.07 × 148.57
  4. Step 4: Simplify right side
    163.98x = 36,707.19
  5. Step 5: Solve for x
    x = 36,707.19/163.98
  6. Step 6: Final answer
    x = 223.85

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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.