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Finding the Fourth Proportional to 376.32, 564 and 280.32

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Solution

The fourth proportional to 376.32, 564 and 280.32 is: 420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.32 : 564 = 280.32 : x
  2. Step 2: Convert to fraction form
    376.32/564 = 280.32/x
  3. Step 3: Cross multiply
    376.32x = 564 × 280.32
  4. Step 4: Simplify right side
    376.32x = 158,100.48
  5. Step 5: Solve for x
    x = 158,100.48/376.32
  6. Step 6: Final answer
    x = 420.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.