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Finding the Fourth Proportional to 225.15, 310.32 and 155.09

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Solution

The fourth proportional to 225.15, 310.32 and 155.09 is: 213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.15 : 310.32 = 155.09 : x
  2. Step 2: Convert to fraction form
    225.15/310.32 = 155.09/x
  3. Step 3: Cross multiply
    225.15x = 310.32 × 155.09
  4. Step 4: Simplify right side
    225.15x = 48,125.98
  5. Step 5: Solve for x
    x = 48,125.98/225.15
  6. Step 6: Final answer
    x = 213.75

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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.