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Finding the Fourth Proportional to 216.42, 298.58 and 129.12

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Solution

The fourth proportional to 216.42, 298.58 and 129.12 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 298.58 = 129.12 : x
  2. Step 2: Convert to fraction form
    216.42/298.58 = 129.12/x
  3. Step 3: Cross multiply
    216.42x = 298.58 × 129.12
  4. Step 4: Simplify right side
    216.42x = 38,552.00
  5. Step 5: Solve for x
    x = 38,552.00/216.42
  6. Step 6: Final answer
    x = 178.14

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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.