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Finding the Fourth Proportional to 426.81, 589.10 and 252.26

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Solution

The fourth proportional to 426.81, 589.10 and 252.26 is: 348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.81 : 589.10 = 252.26 : x
  2. Step 2: Convert to fraction form
    426.81/589.10 = 252.26/x
  3. Step 3: Cross multiply
    426.81x = 589.10 × 252.26
  4. Step 4: Simplify right side
    426.81x = 148,602.16
  5. Step 5: Solve for x
    x = 148,602.16/426.81
  6. Step 6: Final answer
    x = 348.17

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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.