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Finding the Fourth Proportional to 170.68, 233.65 and 170.11

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Solution

The fourth proportional to 170.68, 233.65 and 170.11 is: 232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.68 : 233.65 = 170.11 : x
  2. Step 2: Convert to fraction form
    170.68/233.65 = 170.11/x
  3. Step 3: Cross multiply
    170.68x = 233.65 × 170.11
  4. Step 4: Simplify right side
    170.68x = 39,746.63
  5. Step 5: Solve for x
    x = 39,746.63/170.68
  6. Step 6: Final answer
    x = 232.87

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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.