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Finding the Fourth Proportional to 511.40, 766.92 and 203.15

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Solution

The fourth proportional to 511.40, 766.92 and 203.15 is: 304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 766.92 = 203.15 : x
  2. Step 2: Convert to fraction form
    511.40/766.92 = 203.15/x
  3. Step 3: Cross multiply
    511.40x = 766.92 × 203.15
  4. Step 4: Simplify right side
    511.40x = 155,801.72
  5. Step 5: Solve for x
    x = 155,801.72/511.40
  6. Step 6: Final answer
    x = 304.66

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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.