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Finding the Fourth Proportional to 388.31, 582.46 and 171.77

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Solution

The fourth proportional to 388.31, 582.46 and 171.77 is: 257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.31 : 582.46 = 171.77 : x
  2. Step 2: Convert to fraction form
    388.31/582.46 = 171.77/x
  3. Step 3: Cross multiply
    388.31x = 582.46 × 171.77
  4. Step 4: Simplify right side
    388.31x = 100,045.81
  5. Step 5: Solve for x
    x = 100,045.81/388.31
  6. Step 6: Final answer
    x = 257.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.