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Finding the Fourth Proportional to 235.80, 325.13 and 162.18

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Solution

The fourth proportional to 235.80, 325.13 and 162.18 is: 223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.80 : 325.13 = 162.18 : x
  2. Step 2: Convert to fraction form
    235.80/325.13 = 162.18/x
  3. Step 3: Cross multiply
    235.80x = 325.13 × 162.18
  4. Step 4: Simplify right side
    235.80x = 52,728.77
  5. Step 5: Solve for x
    x = 52,728.77/235.80
  6. Step 6: Final answer
    x = 223.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.