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Finding the Fourth Proportional to 389.94, 540.58 and 369.13

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Solution

The fourth proportional to 389.94, 540.58 and 369.13 is: 511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.94 : 540.58 = 369.13 : x
  2. Step 2: Convert to fraction form
    389.94/540.58 = 369.13/x
  3. Step 3: Cross multiply
    389.94x = 540.58 × 369.13
  4. Step 4: Simplify right side
    389.94x = 199,545.51
  5. Step 5: Solve for x
    x = 199,545.51/389.94
  6. Step 6: Final answer
    x = 511.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.