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Finding the Fourth Proportional to 538.62, 808.10 and 230.47

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Solution

The fourth proportional to 538.62, 808.10 and 230.47 is: 345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.62 : 808.10 = 230.47 : x
  2. Step 2: Convert to fraction form
    538.62/808.10 = 230.47/x
  3. Step 3: Cross multiply
    538.62x = 808.10 × 230.47
  4. Step 4: Simplify right side
    538.62x = 186,242.81
  5. Step 5: Solve for x
    x = 186,242.81/538.62
  6. Step 6: Final answer
    x = 345.78

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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.