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Finding the Fourth Proportional to 171.48, 256.19 and 127.35

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Solution

The fourth proportional to 171.48, 256.19 and 127.35 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.48 : 256.19 = 127.35 : x
  2. Step 2: Convert to fraction form
    171.48/256.19 = 127.35/x
  3. Step 3: Cross multiply
    171.48x = 256.19 × 127.35
  4. Step 4: Simplify right side
    171.48x = 32,625.16
  5. Step 5: Solve for x
    x = 32,625.16/171.48
  6. Step 6: Final answer
    x = 190.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.