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Finding the Fourth Proportional to 505.99, 759.02 and 140.78

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Solution

The fourth proportional to 505.99, 759.02 and 140.78 is: 211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.99 : 759.02 = 140.78 : x
  2. Step 2: Convert to fraction form
    505.99/759.02 = 140.78/x
  3. Step 3: Cross multiply
    505.99x = 759.02 × 140.78
  4. Step 4: Simplify right side
    505.99x = 106,851.04
  5. Step 5: Solve for x
    x = 106,851.04/505.99
  6. Step 6: Final answer
    x = 211.17

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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.