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Finding the Fourth Proportional to 376.40, 564.06 and 280.16

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Solution

The fourth proportional to 376.40, 564.06 and 280.16 is: 419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.40 : 564.06 = 280.16 : x
  2. Step 2: Convert to fraction form
    376.40/564.06 = 280.16/x
  3. Step 3: Cross multiply
    376.40x = 564.06 × 280.16
  4. Step 4: Simplify right side
    376.40x = 158,027.05
  5. Step 5: Solve for x
    x = 158,027.05/376.40
  6. Step 6: Final answer
    x = 419.84

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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.