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Finding the Fourth Proportional to 388.50, 582.82 and 145.04

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Solution

The fourth proportional to 388.50, 582.82 and 145.04 is: 217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.50 : 582.82 = 145.04 : x
  2. Step 2: Convert to fraction form
    388.50/582.82 = 145.04/x
  3. Step 3: Cross multiply
    388.50x = 582.82 × 145.04
  4. Step 4: Simplify right side
    388.50x = 84,532.21
  5. Step 5: Solve for x
    x = 84,532.21/388.50
  6. Step 6: Final answer
    x = 217.59

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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.