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Finding the Fourth Proportional to 188.29, 258.95 and 172.36

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Solution

The fourth proportional to 188.29, 258.95 and 172.36 is: 237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.29 : 258.95 = 172.36 : x
  2. Step 2: Convert to fraction form
    188.29/258.95 = 172.36/x
  3. Step 3: Cross multiply
    188.29x = 258.95 × 172.36
  4. Step 4: Simplify right side
    188.29x = 44,630.47
  5. Step 5: Solve for x
    x = 44,630.47/188.29
  6. Step 6: Final answer
    x = 237.04

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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.