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Finding the Fourth Proportional to 170.48, 253.90 and 166.22

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Solution

The fourth proportional to 170.48, 253.90 and 166.22 is: 247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.48 : 253.90 = 166.22 : x
  2. Step 2: Convert to fraction form
    170.48/253.90 = 166.22/x
  3. Step 3: Cross multiply
    170.48x = 253.90 × 166.22
  4. Step 4: Simplify right side
    170.48x = 42,203.26
  5. Step 5: Solve for x
    x = 42,203.26/170.48
  6. Step 6: Final answer
    x = 247.56

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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.