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Finding the Fourth Proportional to 388.29, 582.49 and 114.40

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Solution

The fourth proportional to 388.29, 582.49 and 114.40 is: 171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.29 : 582.49 = 114.40 : x
  2. Step 2: Convert to fraction form
    388.29/582.49 = 114.40/x
  3. Step 3: Cross multiply
    388.29x = 582.49 × 114.40
  4. Step 4: Simplify right side
    388.29x = 66,636.86
  5. Step 5: Solve for x
    x = 66,636.86/388.29
  6. Step 6: Final answer
    x = 171.62

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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.