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Finding the Fourth Proportional to 169.34, 253.80 and 111.51

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Solution

The fourth proportional to 169.34, 253.80 and 111.51 is: 167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.34 : 253.80 = 111.51 : x
  2. Step 2: Convert to fraction form
    169.34/253.80 = 111.51/x
  3. Step 3: Cross multiply
    169.34x = 253.80 × 111.51
  4. Step 4: Simplify right side
    169.34x = 28,301.24
  5. Step 5: Solve for x
    x = 28,301.24/169.34
  6. Step 6: Final answer
    x = 167.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.