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Finding the Fourth Proportional to 374.85, 559.82 and 326.25

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Solution

The fourth proportional to 374.85, 559.82 and 326.25 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.85 : 559.82 = 326.25 : x
  2. Step 2: Convert to fraction form
    374.85/559.82 = 326.25/x
  3. Step 3: Cross multiply
    374.85x = 559.82 × 326.25
  4. Step 4: Simplify right side
    374.85x = 182,642.09
  5. Step 5: Solve for x
    x = 182,642.09/374.85
  6. Step 6: Final answer
    x = 487.24

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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.