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Finding the Fourth Proportional to 652.50, 978.80 and 196.50

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Solution

The fourth proportional to 652.50, 978.80 and 196.50 is: 294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.50 : 978.80 = 196.50 : x
  2. Step 2: Convert to fraction form
    652.50/978.80 = 196.50/x
  3. Step 3: Cross multiply
    652.50x = 978.80 × 196.50
  4. Step 4: Simplify right side
    652.50x = 192,334.20
  5. Step 5: Solve for x
    x = 192,334.20/652.50
  6. Step 6: Final answer
    x = 294.77

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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.