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Finding the Fourth Proportional to 208.87, 314.50 and 172.65

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Solution

The fourth proportional to 208.87, 314.50 and 172.65 is: 259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.87 : 314.50 = 172.65 : x
  2. Step 2: Convert to fraction form
    208.87/314.50 = 172.65/x
  3. Step 3: Cross multiply
    208.87x = 314.50 × 172.65
  4. Step 4: Simplify right side
    208.87x = 54,298.43
  5. Step 5: Solve for x
    x = 54,298.43/208.87
  6. Step 6: Final answer
    x = 259.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.