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Finding the Fourth Proportional to 666.13, 919.31 and 371.40

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Solution

The fourth proportional to 666.13, 919.31 and 371.40 is: 512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.13 : 919.31 = 371.40 : x
  2. Step 2: Convert to fraction form
    666.13/919.31 = 371.40/x
  3. Step 3: Cross multiply
    666.13x = 919.31 × 371.40
  4. Step 4: Simplify right side
    666.13x = 341,425.28
  5. Step 5: Solve for x
    x = 341,425.28/666.13
  6. Step 6: Final answer
    x = 512.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.