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Finding the Fourth Proportional to 388.56, 535.20 and 301.04

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Solution

The fourth proportional to 388.56, 535.20 and 301.04 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.56 : 535.20 = 301.04 : x
  2. Step 2: Convert to fraction form
    388.56/535.20 = 301.04/x
  3. Step 3: Cross multiply
    388.56x = 535.20 × 301.04
  4. Step 4: Simplify right side
    388.56x = 161,116.61
  5. Step 5: Solve for x
    x = 161,116.61/388.56
  6. Step 6: Final answer
    x = 414.65

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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.