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Finding the Fourth Proportional to 269.32, 405 and 214.60

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Solution

The fourth proportional to 269.32, 405 and 214.60 is: 322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.32 : 405 = 214.60 : x
  2. Step 2: Convert to fraction form
    269.32/405 = 214.60/x
  3. Step 3: Cross multiply
    269.32x = 405 × 214.60
  4. Step 4: Simplify right side
    269.32x = 86,913
  5. Step 5: Solve for x
    x = 86,913/269.32
  6. Step 6: Final answer
    x = 322.71

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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.