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Finding the Fourth Proportional to 652.07, 978.17 and 241.22

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Solution

The fourth proportional to 652.07, 978.17 and 241.22 is: 361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.07 : 978.17 = 241.22 : x
  2. Step 2: Convert to fraction form
    652.07/978.17 = 241.22/x
  3. Step 3: Cross multiply
    652.07x = 978.17 × 241.22
  4. Step 4: Simplify right side
    652.07x = 235,954.17
  5. Step 5: Solve for x
    x = 235,954.17/652.07
  6. Step 6: Final answer
    x = 361.85

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Why These Related Problems?

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