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Finding the Fourth Proportional to 378.64, 565.88 and 276.13

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Solution

The fourth proportional to 378.64, 565.88 and 276.13 is: 412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.64 : 565.88 = 276.13 : x
  2. Step 2: Convert to fraction form
    378.64/565.88 = 276.13/x
  3. Step 3: Cross multiply
    378.64x = 565.88 × 276.13
  4. Step 4: Simplify right side
    378.64x = 156,256.44
  5. Step 5: Solve for x
    x = 156,256.44/378.64
  6. Step 6: Final answer
    x = 412.68

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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.