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Finding the Fourth Proportional to 389.48, 581.24 and 343.31

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Solution

The fourth proportional to 389.48, 581.24 and 343.31 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.48 : 581.24 = 343.31 : x
  2. Step 2: Convert to fraction form
    389.48/581.24 = 343.31/x
  3. Step 3: Cross multiply
    389.48x = 581.24 × 343.31
  4. Step 4: Simplify right side
    389.48x = 199,543.46
  5. Step 5: Solve for x
    x = 199,543.46/389.48
  6. Step 6: Final answer
    x = 512.34

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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.