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Finding the Fourth Proportional to 389.52, 582.24 and 297.72

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Solution

The fourth proportional to 389.52, 582.24 and 297.72 is: 445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 582.24 = 297.72 : x
  2. Step 2: Convert to fraction form
    389.52/582.24 = 297.72/x
  3. Step 3: Cross multiply
    389.52x = 582.24 × 297.72
  4. Step 4: Simplify right side
    389.52x = 173,344.49
  5. Step 5: Solve for x
    x = 173,344.49/389.52
  6. Step 6: Final answer
    x = 445.02

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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.