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Finding the Fourth Proportional to 379.28, 565.66 and 372.80

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Solution

The fourth proportional to 379.28, 565.66 and 372.80 is: 556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.28 : 565.66 = 372.80 : x
  2. Step 2: Convert to fraction form
    379.28/565.66 = 372.80/x
  3. Step 3: Cross multiply
    379.28x = 565.66 × 372.80
  4. Step 4: Simplify right side
    379.28x = 210,878.05
  5. Step 5: Solve for x
    x = 210,878.05/379.28
  6. Step 6: Final answer
    x = 556.00

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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.