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Finding the Fourth Proportional to 505.89, 758.81 and 140.67

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Solution

The fourth proportional to 505.89, 758.81 and 140.67 is: 211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.89 : 758.81 = 140.67 : x
  2. Step 2: Convert to fraction form
    505.89/758.81 = 140.67/x
  3. Step 3: Cross multiply
    505.89x = 758.81 × 140.67
  4. Step 4: Simplify right side
    505.89x = 106,740.20
  5. Step 5: Solve for x
    x = 106,740.20/505.89
  6. Step 6: Final answer
    x = 211.00

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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.