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Finding the Fourth Proportional to 170.62, 233.57 and 165.10

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Solution

The fourth proportional to 170.62, 233.57 and 165.10 is: 226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.62 : 233.57 = 165.10 : x
  2. Step 2: Convert to fraction form
    170.62/233.57 = 165.10/x
  3. Step 3: Cross multiply
    170.62x = 233.57 × 165.10
  4. Step 4: Simplify right side
    170.62x = 38,562.41
  5. Step 5: Solve for x
    x = 38,562.41/170.62
  6. Step 6: Final answer
    x = 226.01

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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.