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Finding the Fourth Proportional to 651.24, 976.85 and 164.29

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Solution

The fourth proportional to 651.24, 976.85 and 164.29 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.24 : 976.85 = 164.29 : x
  2. Step 2: Convert to fraction form
    651.24/976.85 = 164.29/x
  3. Step 3: Cross multiply
    651.24x = 976.85 × 164.29
  4. Step 4: Simplify right side
    651.24x = 160,486.69
  5. Step 5: Solve for x
    x = 160,486.69/651.24
  6. Step 6: Final answer
    x = 246.43

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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.