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Finding the Fourth Proportional to 398.31, 596.16 and 378.24

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Solution

The fourth proportional to 398.31, 596.16 and 378.24 is: 566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.31 : 596.16 = 378.24 : x
  2. Step 2: Convert to fraction form
    398.31/596.16 = 378.24/x
  3. Step 3: Cross multiply
    398.31x = 596.16 × 378.24
  4. Step 4: Simplify right side
    398.31x = 225,491.56
  5. Step 5: Solve for x
    x = 225,491.56/398.31
  6. Step 6: Final answer
    x = 566.12

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1.5x scale

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.