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Finding the Fourth Proportional to 339.36, 508.44 and 262.42

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Solution

The fourth proportional to 339.36, 508.44 and 262.42 is: 393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.36 : 508.44 = 262.42 : x
  2. Step 2: Convert to fraction form
    339.36/508.44 = 262.42/x
  3. Step 3: Cross multiply
    339.36x = 508.44 × 262.42
  4. Step 4: Simplify right side
    339.36x = 133,424.82
  5. Step 5: Solve for x
    x = 133,424.82/339.36
  6. Step 6: Final answer
    x = 393.17

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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.