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Finding the Fourth Proportional to 270.47, 405.75 and 87.85

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Solution

The fourth proportional to 270.47, 405.75 and 87.85 is: 131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.47 : 405.75 = 87.85 : x
  2. Step 2: Convert to fraction form
    270.47/405.75 = 87.85/x
  3. Step 3: Cross multiply
    270.47x = 405.75 × 87.85
  4. Step 4: Simplify right side
    270.47x = 35,645.14
  5. Step 5: Solve for x
    x = 35,645.14/270.47
  6. Step 6: Final answer
    x = 131.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.