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Finding the Fourth Proportional to 215.40, 297.24 and 117.15

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Solution

The fourth proportional to 215.40, 297.24 and 117.15 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.40 : 297.24 = 117.15 : x
  2. Step 2: Convert to fraction form
    215.40/297.24 = 117.15/x
  3. Step 3: Cross multiply
    215.40x = 297.24 × 117.15
  4. Step 4: Simplify right side
    215.40x = 34,821.67
  5. Step 5: Solve for x
    x = 34,821.67/215.40
  6. Step 6: Final answer
    x = 161.66

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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.