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Finding the Fourth Proportional to 505.93, 758.91 and 140.71

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Solution

The fourth proportional to 505.93, 758.91 and 140.71 is: 211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.93 : 758.91 = 140.71 : x
  2. Step 2: Convert to fraction form
    505.93/758.91 = 140.71/x
  3. Step 3: Cross multiply
    505.93x = 758.91 × 140.71
  4. Step 4: Simplify right side
    505.93x = 106,786.23
  5. Step 5: Solve for x
    x = 106,786.23/505.93
  6. Step 6: Final answer
    x = 211.07

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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.