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Finding the Fourth Proportional to 398.08, 593.55 and 378.24

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Solution

The fourth proportional to 398.08, 593.55 and 378.24 is: 563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.08 : 593.55 = 378.24 : x
  2. Step 2: Convert to fraction form
    398.08/593.55 = 378.24/x
  3. Step 3: Cross multiply
    398.08x = 593.55 × 378.24
  4. Step 4: Simplify right side
    398.08x = 224,502.13
  5. Step 5: Solve for x
    x = 224,502.13/398.08
  6. Step 6: Final answer
    x = 563.96

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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.