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Finding the Fourth Proportional to 215.46, 297.55 and 149.25

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Solution

The fourth proportional to 215.46, 297.55 and 149.25 is: 206.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.46 : 297.55 = 149.25 : x
  2. Step 2: Convert to fraction form
    215.46/297.55 = 149.25/x
  3. Step 3: Cross multiply
    215.46x = 297.55 × 149.25
  4. Step 4: Simplify right side
    215.46x = 44,409.34
  5. Step 5: Solve for x
    x = 44,409.34/215.46
  6. Step 6: Final answer
    x = 206.11

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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.