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Finding the Fourth Proportional to 305.58, 422.34 and 270.34

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Solution

The fourth proportional to 305.58, 422.34 and 270.34 is: 373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.58 : 422.34 = 270.34 : x
  2. Step 2: Convert to fraction form
    305.58/422.34 = 270.34/x
  3. Step 3: Cross multiply
    305.58x = 422.34 × 270.34
  4. Step 4: Simplify right side
    305.58x = 114,175.40
  5. Step 5: Solve for x
    x = 114,175.40/305.58
  6. Step 6: Final answer
    x = 373.64

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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.