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Finding the Fourth Proportional to 338.71, 507.42 and 192.22

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Solution

The fourth proportional to 338.71, 507.42 and 192.22 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.71 : 507.42 = 192.22 : x
  2. Step 2: Convert to fraction form
    338.71/507.42 = 192.22/x
  3. Step 3: Cross multiply
    338.71x = 507.42 × 192.22
  4. Step 4: Simplify right side
    338.71x = 97,536.27
  5. Step 5: Solve for x
    x = 97,536.27/338.71
  6. Step 6: Final answer
    x = 287.96

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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.