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Finding the Fourth Proportional to 216.58, 298.88 and 118.34

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Solution

The fourth proportional to 216.58, 298.88 and 118.34 is: 163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.58 : 298.88 = 118.34 : x
  2. Step 2: Convert to fraction form
    216.58/298.88 = 118.34/x
  3. Step 3: Cross multiply
    216.58x = 298.88 × 118.34
  4. Step 4: Simplify right side
    216.58x = 35,369.46
  5. Step 5: Solve for x
    x = 35,369.46/216.58
  6. Step 6: Final answer
    x = 163.31

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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.