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Finding the Fourth Proportional to 340.52, 511.92 and 272.79

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Solution

The fourth proportional to 340.52, 511.92 and 272.79 is: 410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.52 : 511.92 = 272.79 : x
  2. Step 2: Convert to fraction form
    340.52/511.92 = 272.79/x
  3. Step 3: Cross multiply
    340.52x = 511.92 × 272.79
  4. Step 4: Simplify right side
    340.52x = 139,646.66
  5. Step 5: Solve for x
    x = 139,646.66/340.52
  6. Step 6: Final answer
    x = 410.10

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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.