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Finding the Fourth Proportional to 296.02, 406.33 and 270.10

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Solution

The fourth proportional to 296.02, 406.33 and 270.10 is: 370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 406.33 = 270.10 : x
  2. Step 2: Convert to fraction form
    296.02/406.33 = 270.10/x
  3. Step 3: Cross multiply
    296.02x = 406.33 × 270.10
  4. Step 4: Simplify right side
    296.02x = 109,749.73
  5. Step 5: Solve for x
    x = 109,749.73/296.02
  6. Step 6: Final answer
    x = 370.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.