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Finding the Fourth Proportional to 515.64, 773.33 and 191.24

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Solution

The fourth proportional to 515.64, 773.33 and 191.24 is: 286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.64 : 773.33 = 191.24 : x
  2. Step 2: Convert to fraction form
    515.64/773.33 = 191.24/x
  3. Step 3: Cross multiply
    515.64x = 773.33 × 191.24
  4. Step 4: Simplify right side
    515.64x = 147,886.81
  5. Step 5: Solve for x
    x = 147,886.81/515.64
  6. Step 6: Final answer
    x = 286.80

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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.