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Finding the Fourth Proportional to 426.10, 589.14 and 389.19

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Solution

The fourth proportional to 426.10, 589.14 and 389.19 is: 538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.10 : 589.14 = 389.19 : x
  2. Step 2: Convert to fraction form
    426.10/589.14 = 389.19/x
  3. Step 3: Cross multiply
    426.10x = 589.14 × 389.19
  4. Step 4: Simplify right side
    426.10x = 229,287.40
  5. Step 5: Solve for x
    x = 229,287.40/426.10
  6. Step 6: Final answer
    x = 538.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.