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Finding the Fourth Proportional to 171.81, 256.34 and 147.51

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Solution

The fourth proportional to 171.81, 256.34 and 147.51 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.81 : 256.34 = 147.51 : x
  2. Step 2: Convert to fraction form
    171.81/256.34 = 147.51/x
  3. Step 3: Cross multiply
    171.81x = 256.34 × 147.51
  4. Step 4: Simplify right side
    171.81x = 37,813.08
  5. Step 5: Solve for x
    x = 37,813.08/171.81
  6. Step 6: Final answer
    x = 220.09

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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.