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Finding the Fourth Proportional to 652.14, 978.30 and 219.19

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Solution

The fourth proportional to 652.14, 978.30 and 219.19 is: 328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 978.30 = 219.19 : x
  2. Step 2: Convert to fraction form
    652.14/978.30 = 219.19/x
  3. Step 3: Cross multiply
    652.14x = 978.30 × 219.19
  4. Step 4: Simplify right side
    652.14x = 214,433.58
  5. Step 5: Solve for x
    x = 214,433.58/652.14
  6. Step 6: Final answer
    x = 328.82

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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.