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Finding the Fourth Proportional to 171.54, 237 and 130.23

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Solution

The fourth proportional to 171.54, 237 and 130.23 is: 179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.54 : 237 = 130.23 : x
  2. Step 2: Convert to fraction form
    171.54/237 = 130.23/x
  3. Step 3: Cross multiply
    171.54x = 237 × 130.23
  4. Step 4: Simplify right side
    171.54x = 30,864.51
  5. Step 5: Solve for x
    x = 30,864.51/171.54
  6. Step 6: Final answer
    x = 179.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.