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Finding the Fourth Proportional to 508.57, 763.15 and 216.05

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Solution

The fourth proportional to 508.57, 763.15 and 216.05 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.57 : 763.15 = 216.05 : x
  2. Step 2: Convert to fraction form
    508.57/763.15 = 216.05/x
  3. Step 3: Cross multiply
    508.57x = 763.15 × 216.05
  4. Step 4: Simplify right side
    508.57x = 164,879.93
  5. Step 5: Solve for x
    x = 164,879.93/508.57
  6. Step 6: Final answer
    x = 324.20

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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.