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Finding the Fourth Proportional to 378.68, 565.55 and 317.79

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Solution

The fourth proportional to 378.68, 565.55 and 317.79 is: 474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.68 : 565.55 = 317.79 : x
  2. Step 2: Convert to fraction form
    378.68/565.55 = 317.79/x
  3. Step 3: Cross multiply
    378.68x = 565.55 × 317.79
  4. Step 4: Simplify right side
    378.68x = 179,725.74
  5. Step 5: Solve for x
    x = 179,725.74/378.68
  6. Step 6: Final answer
    x = 474.62

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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.