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Finding the Fourth Proportional to 175, 241.66 and 129.24

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Solution

The fourth proportional to 175, 241.66 and 129.24 is: 178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175 : 241.66 = 129.24 : x
  2. Step 2: Convert to fraction form
    175/241.66 = 129.24/x
  3. Step 3: Cross multiply
    175x = 241.66 × 129.24
  4. Step 4: Simplify right side
    175x = 31,232.14
  5. Step 5: Solve for x
    x = 31,232.14/175
  6. Step 6: Final answer
    x = 178.47

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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.