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Finding the Fourth Proportional to 505.23, 757.77 and 139.98

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Solution

The fourth proportional to 505.23, 757.77 and 139.98 is: 209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.23 : 757.77 = 139.98 : x
  2. Step 2: Convert to fraction form
    505.23/757.77 = 139.98/x
  3. Step 3: Cross multiply
    505.23x = 757.77 × 139.98
  4. Step 4: Simplify right side
    505.23x = 106,072.64
  5. Step 5: Solve for x
    x = 106,072.64/505.23
  6. Step 6: Final answer
    x = 209.95

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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.