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Finding the Fourth Proportional to 376.77, 564.42 and 290.19

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Solution

The fourth proportional to 376.77, 564.42 and 290.19 is: 434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.77 : 564.42 = 290.19 : x
  2. Step 2: Convert to fraction form
    376.77/564.42 = 290.19/x
  3. Step 3: Cross multiply
    376.77x = 564.42 × 290.19
  4. Step 4: Simplify right side
    376.77x = 163,789.04
  5. Step 5: Solve for x
    x = 163,789.04/376.77
  6. Step 6: Final answer
    x = 434.72

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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.