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Finding the Fourth Proportional to 378.88, 565.99 and 317.36

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Solution

The fourth proportional to 378.88, 565.99 and 317.36 is: 474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.88 : 565.99 = 317.36 : x
  2. Step 2: Convert to fraction form
    378.88/565.99 = 317.36/x
  3. Step 3: Cross multiply
    378.88x = 565.99 × 317.36
  4. Step 4: Simplify right side
    378.88x = 179,622.59
  5. Step 5: Solve for x
    x = 179,622.59/378.88
  6. Step 6: Final answer
    x = 474.09

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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.