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Finding the Fourth Proportional to 389.74, 537.32 and 323.10

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Solution

The fourth proportional to 389.74, 537.32 and 323.10 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.74 : 537.32 = 323.10 : x
  2. Step 2: Convert to fraction form
    389.74/537.32 = 323.10/x
  3. Step 3: Cross multiply
    389.74x = 537.32 × 323.10
  4. Step 4: Simplify right side
    389.74x = 173,608.90
  5. Step 5: Solve for x
    x = 173,608.90/389.74
  6. Step 6: Final answer
    x = 445.45

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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.