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Finding the Fourth Proportional to 215.45, 324.42 and 155.00

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Solution

The fourth proportional to 215.45, 324.42 and 155.00 is: 233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.45 : 324.42 = 155.00 : x
  2. Step 2: Convert to fraction form
    215.45/324.42 = 155.00/x
  3. Step 3: Cross multiply
    215.45x = 324.42 × 155.00
  4. Step 4: Simplify right side
    215.45x = 50,283.48
  5. Step 5: Solve for x
    x = 50,283.48/215.45
  6. Step 6: Final answer
    x = 233.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.