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Finding the Fourth Proportional to 208.58, 313.86 and 172.28

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Solution

The fourth proportional to 208.58, 313.86 and 172.28 is: 259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.58 : 313.86 = 172.28 : x
  2. Step 2: Convert to fraction form
    208.58/313.86 = 172.28/x
  3. Step 3: Cross multiply
    208.58x = 313.86 × 172.28
  4. Step 4: Simplify right side
    208.58x = 54,071.80
  5. Step 5: Solve for x
    x = 54,071.80/208.58
  6. Step 6: Final answer
    x = 259.24

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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.