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Finding the Fourth Proportional to 652.82, 978.35 and 241.56

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Solution

The fourth proportional to 652.82, 978.35 and 241.56 is: 362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.82 : 978.35 = 241.56 : x
  2. Step 2: Convert to fraction form
    652.82/978.35 = 241.56/x
  3. Step 3: Cross multiply
    652.82x = 978.35 × 241.56
  4. Step 4: Simplify right side
    652.82x = 236,329.02
  5. Step 5: Solve for x
    x = 236,329.02/652.82
  6. Step 6: Final answer
    x = 362.02

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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.