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Finding the Fourth Proportional to 389.63, 584.45 and 133.13

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Solution

The fourth proportional to 389.63, 584.45 and 133.13 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.63 : 584.45 = 133.13 : x
  2. Step 2: Convert to fraction form
    389.63/584.45 = 133.13/x
  3. Step 3: Cross multiply
    389.63x = 584.45 × 133.13
  4. Step 4: Simplify right side
    389.63x = 77,804.24
  5. Step 5: Solve for x
    x = 77,804.24/389.63
  6. Step 6: Final answer
    x = 199.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.