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Finding the Fourth Proportional to 270.71, 405.39 and 172.91

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Solution

The fourth proportional to 270.71, 405.39 and 172.91 is: 258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.71 : 405.39 = 172.91 : x
  2. Step 2: Convert to fraction form
    270.71/405.39 = 172.91/x
  3. Step 3: Cross multiply
    270.71x = 405.39 × 172.91
  4. Step 4: Simplify right side
    270.71x = 70,095.98
  5. Step 5: Solve for x
    x = 70,095.98/270.71
  6. Step 6: Final answer
    x = 258.93

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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.