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Finding the Fourth Proportional to 216.60, 298.91 and 129.26

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Solution

The fourth proportional to 216.60, 298.91 and 129.26 is: 178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.60 : 298.91 = 129.26 : x
  2. Step 2: Convert to fraction form
    216.60/298.91 = 129.26/x
  3. Step 3: Cross multiply
    216.60x = 298.91 × 129.26
  4. Step 4: Simplify right side
    216.60x = 38,637.11
  5. Step 5: Solve for x
    x = 38,637.11/216.60
  6. Step 6: Final answer
    x = 178.38

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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.