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Finding the Fourth Proportional to 652.10, 978 and 241.26

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Solution

The fourth proportional to 652.10, 978 and 241.26 is: 361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.10 : 978 = 241.26 : x
  2. Step 2: Convert to fraction form
    652.10/978 = 241.26/x
  3. Step 3: Cross multiply
    652.10x = 978 × 241.26
  4. Step 4: Simplify right side
    652.10x = 235,952.28
  5. Step 5: Solve for x
    x = 235,952.28/652.10
  6. Step 6: Final answer
    x = 361.83

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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.