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Finding the Fourth Proportional to 155.82, 216.73 and 152.48

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Solution

The fourth proportional to 155.82, 216.73 and 152.48 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.82 : 216.73 = 152.48 : x
  2. Step 2: Convert to fraction form
    155.82/216.73 = 152.48/x
  3. Step 3: Cross multiply
    155.82x = 216.73 × 152.48
  4. Step 4: Simplify right side
    155.82x = 33,046.87
  5. Step 5: Solve for x
    x = 33,046.87/155.82
  6. Step 6: Final answer
    x = 212.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.