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Finding the Fourth Proportional to 511.80, 766.66 and 237.51

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Solution

The fourth proportional to 511.80, 766.66 and 237.51 is: 355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 766.66 = 237.51 : x
  2. Step 2: Convert to fraction form
    511.80/766.66 = 237.51/x
  3. Step 3: Cross multiply
    511.80x = 766.66 × 237.51
  4. Step 4: Simplify right side
    511.80x = 182,089.42
  5. Step 5: Solve for x
    x = 182,089.42/511.80
  6. Step 6: Final answer
    x = 355.78

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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.