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Finding the Fourth Proportional to 505.34, 758.01 and 180.73

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Solution

The fourth proportional to 505.34, 758.01 and 180.73 is: 271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 758.01 = 180.73 : x
  2. Step 2: Convert to fraction form
    505.34/758.01 = 180.73/x
  3. Step 3: Cross multiply
    505.34x = 758.01 × 180.73
  4. Step 4: Simplify right side
    505.34x = 136,995.76
  5. Step 5: Solve for x
    x = 136,995.76/505.34
  6. Step 6: Final answer
    x = 271.10

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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.