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Finding the Fourth Proportional to 378.27, 570.06 and 314.69

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Solution

The fourth proportional to 378.27, 570.06 and 314.69 is: 474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.27 : 570.06 = 314.69 : x
  2. Step 2: Convert to fraction form
    378.27/570.06 = 314.69/x
  3. Step 3: Cross multiply
    378.27x = 570.06 × 314.69
  4. Step 4: Simplify right side
    378.27x = 179,389.33
  5. Step 5: Solve for x
    x = 179,389.33/378.27
  6. Step 6: Final answer
    x = 474.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.