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Finding the Fourth Proportional to 652.38, 978.82 and 241.70

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Solution

The fourth proportional to 652.38, 978.82 and 241.70 is: 362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.38 : 978.82 = 241.70 : x
  2. Step 2: Convert to fraction form
    652.38/978.82 = 241.70/x
  3. Step 3: Cross multiply
    652.38x = 978.82 × 241.70
  4. Step 4: Simplify right side
    652.38x = 236,580.79
  5. Step 5: Solve for x
    x = 236,580.79/652.38
  6. Step 6: Final answer
    x = 362.64

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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.