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Finding the Fourth Proportional to 518.23, 715.33 and 311.23

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Solution

The fourth proportional to 518.23, 715.33 and 311.23 is: 429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.23 : 715.33 = 311.23 : x
  2. Step 2: Convert to fraction form
    518.23/715.33 = 311.23/x
  3. Step 3: Cross multiply
    518.23x = 715.33 × 311.23
  4. Step 4: Simplify right side
    518.23x = 222,632.16
  5. Step 5: Solve for x
    x = 222,632.16/518.23
  6. Step 6: Final answer
    x = 429.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.