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Finding the Fourth Proportional to 652.06, 978.01 and 165.11

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Solution

The fourth proportional to 652.06, 978.01 and 165.11 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.06 : 978.01 = 165.11 : x
  2. Step 2: Convert to fraction form
    652.06/978.01 = 165.11/x
  3. Step 3: Cross multiply
    652.06x = 978.01 × 165.11
  4. Step 4: Simplify right side
    652.06x = 161,481.26
  5. Step 5: Solve for x
    x = 161,481.26/652.06
  6. Step 6: Final answer
    x = 247.65

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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.