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Finding the Fourth Proportional to 406.40, 612.64 and 371.80

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Solution

The fourth proportional to 406.40, 612.64 and 371.80 is: 560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.40 : 612.64 = 371.80 : x
  2. Step 2: Convert to fraction form
    406.40/612.64 = 371.80/x
  3. Step 3: Cross multiply
    406.40x = 612.64 × 371.80
  4. Step 4: Simplify right side
    406.40x = 227,777.69
  5. Step 5: Solve for x
    x = 227,777.69/406.40
  6. Step 6: Final answer
    x = 560.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.