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Finding the Fourth Proportional to 216.98, 299.45 and 129.71

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Solution

The fourth proportional to 216.98, 299.45 and 129.71 is: 179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.98 : 299.45 = 129.71 : x
  2. Step 2: Convert to fraction form
    216.98/299.45 = 129.71/x
  3. Step 3: Cross multiply
    216.98x = 299.45 × 129.71
  4. Step 4: Simplify right side
    216.98x = 38,840.32
  5. Step 5: Solve for x
    x = 38,840.32/216.98
  6. Step 6: Final answer
    x = 179.00

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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.