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Finding the Fourth Proportional to 340.27, 508.20 and 278.71

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Solution

The fourth proportional to 340.27, 508.20 and 278.71 is: 416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.27 : 508.20 = 278.71 : x
  2. Step 2: Convert to fraction form
    340.27/508.20 = 278.71/x
  3. Step 3: Cross multiply
    340.27x = 508.20 × 278.71
  4. Step 4: Simplify right side
    340.27x = 141,640.42
  5. Step 5: Solve for x
    x = 141,640.42/340.27
  6. Step 6: Final answer
    x = 416.26

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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.