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Finding the Fourth Proportional to 215.81, 323.58 and 100.18

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Solution

The fourth proportional to 215.81, 323.58 and 100.18 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.81 : 323.58 = 100.18 : x
  2. Step 2: Convert to fraction form
    215.81/323.58 = 100.18/x
  3. Step 3: Cross multiply
    215.81x = 323.58 × 100.18
  4. Step 4: Simplify right side
    215.81x = 32,417.05
  5. Step 5: Solve for x
    x = 32,417.05/215.81
  6. Step 6: Final answer
    x = 150.21

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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.