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Finding the Fourth Proportional to 389.94, 580.95 and 386.10

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Solution

The fourth proportional to 389.94, 580.95 and 386.10 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.94 : 580.95 = 386.10 : x
  2. Step 2: Convert to fraction form
    389.94/580.95 = 386.10/x
  3. Step 3: Cross multiply
    389.94x = 580.95 × 386.10
  4. Step 4: Simplify right side
    389.94x = 224,304.80
  5. Step 5: Solve for x
    x = 224,304.80/389.94
  6. Step 6: Final answer
    x = 575.23

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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.