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Finding the Fourth Proportional to 215.46, 297.54 and 157.41

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Solution

The fourth proportional to 215.46, 297.54 and 157.41 is: 217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.46 : 297.54 = 157.41 : x
  2. Step 2: Convert to fraction form
    215.46/297.54 = 157.41/x
  3. Step 3: Cross multiply
    215.46x = 297.54 × 157.41
  4. Step 4: Simplify right side
    215.46x = 46,835.77
  5. Step 5: Solve for x
    x = 46,835.77/215.46
  6. Step 6: Final answer
    x = 217.38

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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.