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Finding the Fourth Proportional to 538.22, 807.47 and 230.09

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Solution

The fourth proportional to 538.22, 807.47 and 230.09 is: 345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 807.47 = 230.09 : x
  2. Step 2: Convert to fraction form
    538.22/807.47 = 230.09/x
  3. Step 3: Cross multiply
    538.22x = 807.47 × 230.09
  4. Step 4: Simplify right side
    538.22x = 185,785.58
  5. Step 5: Solve for x
    x = 185,785.58/538.22
  6. Step 6: Final answer
    x = 345.19

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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.