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Finding the Fourth Proportional to 652.38, 978.72 and 190.17

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Solution

The fourth proportional to 652.38, 978.72 and 190.17 is: 285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.38 : 978.72 = 190.17 : x
  2. Step 2: Convert to fraction form
    652.38/978.72 = 190.17/x
  3. Step 3: Cross multiply
    652.38x = 978.72 × 190.17
  4. Step 4: Simplify right side
    652.38x = 186,123.18
  5. Step 5: Solve for x
    x = 186,123.18/652.38
  6. Step 6: Final answer
    x = 285.30

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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.