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Finding the Fourth Proportional to 170.90, 257.33 and 127.87

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Solution

The fourth proportional to 170.90, 257.33 and 127.87 is: 192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.90 : 257.33 = 127.87 : x
  2. Step 2: Convert to fraction form
    170.90/257.33 = 127.87/x
  3. Step 3: Cross multiply
    170.90x = 257.33 × 127.87
  4. Step 4: Simplify right side
    170.90x = 32,904.79
  5. Step 5: Solve for x
    x = 32,904.79/170.90
  6. Step 6: Final answer
    x = 192.54

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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.