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Finding the Fourth Proportional to 163.55, 246.31 and 147.51

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Solution

The fourth proportional to 163.55, 246.31 and 147.51 is: 222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.55 : 246.31 = 147.51 : x
  2. Step 2: Convert to fraction form
    163.55/246.31 = 147.51/x
  3. Step 3: Cross multiply
    163.55x = 246.31 × 147.51
  4. Step 4: Simplify right side
    163.55x = 36,332.82
  5. Step 5: Solve for x
    x = 36,332.82/163.55
  6. Step 6: Final answer
    x = 222.15

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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.