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Finding the Fourth Proportional to 209.00, 312.63 and 172.02

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Solution

The fourth proportional to 209.00, 312.63 and 172.02 is: 257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.00 : 312.63 = 172.02 : x
  2. Step 2: Convert to fraction form
    209.00/312.63 = 172.02/x
  3. Step 3: Cross multiply
    209.00x = 312.63 × 172.02
  4. Step 4: Simplify right side
    209.00x = 53,778.61
  5. Step 5: Solve for x
    x = 53,778.61/209.00
  6. Step 6: Final answer
    x = 257.32

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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.