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Finding the Fourth Proportional to 389.34, 581.14 and 348.23

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Solution

The fourth proportional to 389.34, 581.14 and 348.23 is: 519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 581.14 = 348.23 : x
  2. Step 2: Convert to fraction form
    389.34/581.14 = 348.23/x
  3. Step 3: Cross multiply
    389.34x = 581.14 × 348.23
  4. Step 4: Simplify right side
    389.34x = 202,372.27
  5. Step 5: Solve for x
    x = 202,372.27/389.34
  6. Step 6: Final answer
    x = 519.78

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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.