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Finding the Fourth Proportional to 445.10, 666.74 and 261.95

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Solution

The fourth proportional to 445.10, 666.74 and 261.95 is: 392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.10 : 666.74 = 261.95 : x
  2. Step 2: Convert to fraction form
    445.10/666.74 = 261.95/x
  3. Step 3: Cross multiply
    445.10x = 666.74 × 261.95
  4. Step 4: Simplify right side
    445.10x = 174,649.57
  5. Step 5: Solve for x
    x = 174,649.57/445.10
  6. Step 6: Final answer
    x = 392.38

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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.