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Finding the Fourth Proportional to 445.02, 666.66 and 262.05

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Solution

The fourth proportional to 445.02, 666.66 and 262.05 is: 392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.02 : 666.66 = 262.05 : x
  2. Step 2: Convert to fraction form
    445.02/666.66 = 262.05/x
  3. Step 3: Cross multiply
    445.02x = 666.66 × 262.05
  4. Step 4: Simplify right side
    445.02x = 174,698.25
  5. Step 5: Solve for x
    x = 174,698.25/445.02
  6. Step 6: Final answer
    x = 392.56

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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.