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Finding the Fourth Proportional to 556.92, 835.38 and 172.14

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Solution

The fourth proportional to 556.92, 835.38 and 172.14 is: 258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 835.38 = 172.14 : x
  2. Step 2: Convert to fraction form
    556.92/835.38 = 172.14/x
  3. Step 3: Cross multiply
    556.92x = 835.38 × 172.14
  4. Step 4: Simplify right side
    556.92x = 143,802.31
  5. Step 5: Solve for x
    x = 143,802.31/556.92
  6. Step 6: Final answer
    x = 258.21

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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.