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Finding the Fourth Proportional to 340.49, 505.23 and 339.27

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Solution

The fourth proportional to 340.49, 505.23 and 339.27 is: 503.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.49 : 505.23 = 339.27 : x
  2. Step 2: Convert to fraction form
    340.49/505.23 = 339.27/x
  3. Step 3: Cross multiply
    340.49x = 505.23 × 339.27
  4. Step 4: Simplify right side
    340.49x = 171,409.38
  5. Step 5: Solve for x
    x = 171,409.38/340.49
  6. Step 6: Final answer
    x = 503.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.