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Finding the Fourth Proportional to 652.12, 978.18 and 267.38

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Solution

The fourth proportional to 652.12, 978.18 and 267.38 is: 401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 978.18 = 267.38 : x
  2. Step 2: Convert to fraction form
    652.12/978.18 = 267.38/x
  3. Step 3: Cross multiply
    652.12x = 978.18 × 267.38
  4. Step 4: Simplify right side
    652.12x = 261,545.77
  5. Step 5: Solve for x
    x = 261,545.77/652.12
  6. Step 6: Final answer
    x = 401.07

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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.