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Finding the Fourth Proportional to 378.83, 565.09 and 372.56

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Solution

The fourth proportional to 378.83, 565.09 and 372.56 is: 555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.83 : 565.09 = 372.56 : x
  2. Step 2: Convert to fraction form
    378.83/565.09 = 372.56/x
  3. Step 3: Cross multiply
    378.83x = 565.09 × 372.56
  4. Step 4: Simplify right side
    378.83x = 210,529.93
  5. Step 5: Solve for x
    x = 210,529.93/378.83
  6. Step 6: Final answer
    x = 555.74

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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.