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Finding the Fourth Proportional to 374.26, 515.80 and 290.13

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Solution

The fourth proportional to 374.26, 515.80 and 290.13 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.26 : 515.80 = 290.13 : x
  2. Step 2: Convert to fraction form
    374.26/515.80 = 290.13/x
  3. Step 3: Cross multiply
    374.26x = 515.80 × 290.13
  4. Step 4: Simplify right side
    374.26x = 149,649.05
  5. Step 5: Solve for x
    x = 149,649.05/374.26
  6. Step 6: Final answer
    x = 399.85

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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.