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Finding the Fourth Proportional to 376.77, 520.61 and 290.19

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Solution

The fourth proportional to 376.77, 520.61 and 290.19 is: 400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.77 : 520.61 = 290.19 : x
  2. Step 2: Convert to fraction form
    376.77/520.61 = 290.19/x
  3. Step 3: Cross multiply
    376.77x = 520.61 × 290.19
  4. Step 4: Simplify right side
    376.77x = 151,075.82
  5. Step 5: Solve for x
    x = 151,075.82/376.77
  6. Step 6: Final answer
    x = 400.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.