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Finding the Fourth Proportional to 215.80, 298.38 and 188.47

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Solution

The fourth proportional to 215.80, 298.38 and 188.47 is: 260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 298.38 = 188.47 : x
  2. Step 2: Convert to fraction form
    215.80/298.38 = 188.47/x
  3. Step 3: Cross multiply
    215.80x = 298.38 × 188.47
  4. Step 4: Simplify right side
    215.80x = 56,235.68
  5. Step 5: Solve for x
    x = 56,235.68/215.80
  6. Step 6: Final answer
    x = 260.59

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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.