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Finding the Fourth Proportional to 270.45, 405.78 and 97.11

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Solution

The fourth proportional to 270.45, 405.78 and 97.11 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.45 : 405.78 = 97.11 : x
  2. Step 2: Convert to fraction form
    270.45/405.78 = 97.11/x
  3. Step 3: Cross multiply
    270.45x = 405.78 × 97.11
  4. Step 4: Simplify right side
    270.45x = 39,405.30
  5. Step 5: Solve for x
    x = 39,405.30/270.45
  6. Step 6: Final answer
    x = 145.70

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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.