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Finding the Fourth Proportional to 388.72, 579.20 and 382.24

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Solution

The fourth proportional to 388.72, 579.20 and 382.24 is: 569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.72 : 579.20 = 382.24 : x
  2. Step 2: Convert to fraction form
    388.72/579.20 = 382.24/x
  3. Step 3: Cross multiply
    388.72x = 579.20 × 382.24
  4. Step 4: Simplify right side
    388.72x = 221,393.41
  5. Step 5: Solve for x
    x = 221,393.41/388.72
  6. Step 6: Final answer
    x = 569.54

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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.