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Finding the Fourth Proportional to 170.52, 257 and 161.10

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Solution

The fourth proportional to 170.52, 257 and 161.10 is: 242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.52 : 257 = 161.10 : x
  2. Step 2: Convert to fraction form
    170.52/257 = 161.10/x
  3. Step 3: Cross multiply
    170.52x = 257 × 161.10
  4. Step 4: Simplify right side
    170.52x = 41,402.70
  5. Step 5: Solve for x
    x = 41,402.70/170.52
  6. Step 6: Final answer
    x = 242.80

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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.