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Finding the Fourth Proportional to 215.81, 297.60 and 174.35

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Solution

The fourth proportional to 215.81, 297.60 and 174.35 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.81 : 297.60 = 174.35 : x
  2. Step 2: Convert to fraction form
    215.81/297.60 = 174.35/x
  3. Step 3: Cross multiply
    215.81x = 297.60 × 174.35
  4. Step 4: Simplify right side
    215.81x = 51,885.07
  5. Step 5: Solve for x
    x = 51,885.07/215.81
  6. Step 6: Final answer
    x = 240.43

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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.