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Finding the Fourth Proportional to 410.10, 611.63 and 371.22

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Solution

The fourth proportional to 410.10, 611.63 and 371.22 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.10 : 611.63 = 371.22 : x
  2. Step 2: Convert to fraction form
    410.10/611.63 = 371.22/x
  3. Step 3: Cross multiply
    410.10x = 611.63 × 371.22
  4. Step 4: Simplify right side
    410.10x = 227,047.43
  5. Step 5: Solve for x
    x = 227,047.43/410.10
  6. Step 6: Final answer
    x = 553.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.