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Finding the Fourth Proportional to 505.78, 758.78 and 300.11

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Solution

The fourth proportional to 505.78, 758.78 and 300.11 is: 450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.78 : 758.78 = 300.11 : x
  2. Step 2: Convert to fraction form
    505.78/758.78 = 300.11/x
  3. Step 3: Cross multiply
    505.78x = 758.78 × 300.11
  4. Step 4: Simplify right side
    505.78x = 227,712.17
  5. Step 5: Solve for x
    x = 227,712.17/505.78
  6. Step 6: Final answer
    x = 450.22

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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.