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Finding the Fourth Proportional to 572.81, 859.14 and 226.13

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Solution

The fourth proportional to 572.81, 859.14 and 226.13 is: 339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.81 : 859.14 = 226.13 : x
  2. Step 2: Convert to fraction form
    572.81/859.14 = 226.13/x
  3. Step 3: Cross multiply
    572.81x = 859.14 × 226.13
  4. Step 4: Simplify right side
    572.81x = 194,273.03
  5. Step 5: Solve for x
    x = 194,273.03/572.81
  6. Step 6: Final answer
    x = 339.16

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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.