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Finding the Fourth Proportional to 422.98, 582.36 and 370.47

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Solution

The fourth proportional to 422.98, 582.36 and 370.47 is: 510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.98 : 582.36 = 370.47 : x
  2. Step 2: Convert to fraction form
    422.98/582.36 = 370.47/x
  3. Step 3: Cross multiply
    422.98x = 582.36 × 370.47
  4. Step 4: Simplify right side
    422.98x = 215,742.15
  5. Step 5: Solve for x
    x = 215,742.15/422.98
  6. Step 6: Final answer
    x = 510.06

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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.