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Finding the Fourth Proportional to 445.78, 666.98 and 309.10

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Solution

The fourth proportional to 445.78, 666.98 and 309.10 is: 462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 666.98 = 309.10 : x
  2. Step 2: Convert to fraction form
    445.78/666.98 = 309.10/x
  3. Step 3: Cross multiply
    445.78x = 666.98 × 309.10
  4. Step 4: Simplify right side
    445.78x = 206,163.52
  5. Step 5: Solve for x
    x = 206,163.52/445.78
  6. Step 6: Final answer
    x = 462.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.