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Finding the Fourth Proportional to 270.48, 405.78 and 97.26

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Solution

The fourth proportional to 270.48, 405.78 and 97.26 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.48 : 405.78 = 97.26 : x
  2. Step 2: Convert to fraction form
    270.48/405.78 = 97.26/x
  3. Step 3: Cross multiply
    270.48x = 405.78 × 97.26
  4. Step 4: Simplify right side
    270.48x = 39,466.16
  5. Step 5: Solve for x
    x = 39,466.16/270.48
  6. Step 6: Final answer
    x = 145.91

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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.