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Finding the Fourth Proportional to 385.88, 582.26 and 370.88

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Solution

The fourth proportional to 385.88, 582.26 and 370.88 is: 559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.88 : 582.26 = 370.88 : x
  2. Step 2: Convert to fraction form
    385.88/582.26 = 370.88/x
  3. Step 3: Cross multiply
    385.88x = 582.26 × 370.88
  4. Step 4: Simplify right side
    385.88x = 215,948.59
  5. Step 5: Solve for x
    x = 215,948.59/385.88
  6. Step 6: Final answer
    x = 559.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.