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Finding the Fourth Proportional to 403.95, 606.10 and 274.10

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Solution

The fourth proportional to 403.95, 606.10 and 274.10 is: 411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.95 : 606.10 = 274.10 : x
  2. Step 2: Convert to fraction form
    403.95/606.10 = 274.10/x
  3. Step 3: Cross multiply
    403.95x = 606.10 × 274.10
  4. Step 4: Simplify right side
    403.95x = 166,132.01
  5. Step 5: Solve for x
    x = 166,132.01/403.95
  6. Step 6: Final answer
    x = 411.27

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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.