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Finding the Fourth Proportional to 305.32, 422 and 270.10

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Solution

The fourth proportional to 305.32, 422 and 270.10 is: 373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.32 : 422 = 270.10 : x
  2. Step 2: Convert to fraction form
    305.32/422 = 270.10/x
  3. Step 3: Cross multiply
    305.32x = 422 × 270.10
  4. Step 4: Simplify right side
    305.32x = 113,982.20
  5. Step 5: Solve for x
    x = 113,982.20/305.32
  6. Step 6: Final answer
    x = 373.32

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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.