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Finding the Fourth Proportional to 357.91, 536.78 and 172.63

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Solution

The fourth proportional to 357.91, 536.78 and 172.63 is: 258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.91 : 536.78 = 172.63 : x
  2. Step 2: Convert to fraction form
    357.91/536.78 = 172.63/x
  3. Step 3: Cross multiply
    357.91x = 536.78 × 172.63
  4. Step 4: Simplify right side
    357.91x = 92,663.47
  5. Step 5: Solve for x
    x = 92,663.47/357.91
  6. Step 6: Final answer
    x = 258.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.