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Finding the Fourth Proportional to 378.37, 565.25 and 316.86

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Solution

The fourth proportional to 378.37, 565.25 and 316.86 is: 473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.37 : 565.25 = 316.86 : x
  2. Step 2: Convert to fraction form
    378.37/565.25 = 316.86/x
  3. Step 3: Cross multiply
    378.37x = 565.25 × 316.86
  4. Step 4: Simplify right side
    378.37x = 179,105.12
  5. Step 5: Solve for x
    x = 179,105.12/378.37
  6. Step 6: Final answer
    x = 473.36

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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.