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Finding the Fourth Proportional to 213.99, 320.56 and 165.19

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Solution

The fourth proportional to 213.99, 320.56 and 165.19 is: 247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.99 : 320.56 = 165.19 : x
  2. Step 2: Convert to fraction form
    213.99/320.56 = 165.19/x
  3. Step 3: Cross multiply
    213.99x = 320.56 × 165.19
  4. Step 4: Simplify right side
    213.99x = 52,953.31
  5. Step 5: Solve for x
    x = 52,953.31/213.99
  6. Step 6: Final answer
    x = 247.46

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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.