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Finding the Fourth Proportional to 652.10, 978.15 and 165.19

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Solution

The fourth proportional to 652.10, 978.15 and 165.19 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.10 : 978.15 = 165.19 : x
  2. Step 2: Convert to fraction form
    652.10/978.15 = 165.19/x
  3. Step 3: Cross multiply
    652.10x = 978.15 × 165.19
  4. Step 4: Simplify right side
    652.10x = 161,580.14
  5. Step 5: Solve for x
    x = 161,580.14/652.10
  6. Step 6: Final answer
    x = 247.78

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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.