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Finding the Fourth Proportional to 213.63, 320.00 and 162.30

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Solution

The fourth proportional to 213.63, 320.00 and 162.30 is: 243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 320.00 = 162.30 : x
  2. Step 2: Convert to fraction form
    213.63/320.00 = 162.30/x
  3. Step 3: Cross multiply
    213.63x = 320.00 × 162.30
  4. Step 4: Simplify right side
    213.63x = 51,935.19
  5. Step 5: Solve for x
    x = 51,935.19/213.63
  6. Step 6: Final answer
    x = 243.11

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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.