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Finding the Fourth Proportional to 339.71, 507.48 and 271.37

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Solution

The fourth proportional to 339.71, 507.48 and 271.37 is: 405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.71 : 507.48 = 271.37 : x
  2. Step 2: Convert to fraction form
    339.71/507.48 = 271.37/x
  3. Step 3: Cross multiply
    339.71x = 507.48 × 271.37
  4. Step 4: Simplify right side
    339.71x = 137,712.31
  5. Step 5: Solve for x
    x = 137,712.31/339.71
  6. Step 6: Final answer
    x = 405.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.