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Finding the Fourth Proportional to 215.61, 323.64 and 157.08

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Solution

The fourth proportional to 215.61, 323.64 and 157.08 is: 235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.61 : 323.64 = 157.08 : x
  2. Step 2: Convert to fraction form
    215.61/323.64 = 157.08/x
  3. Step 3: Cross multiply
    215.61x = 323.64 × 157.08
  4. Step 4: Simplify right side
    215.61x = 50,837.37
  5. Step 5: Solve for x
    x = 50,837.37/215.61
  6. Step 6: Final answer
    x = 235.78

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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.