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Finding the Fourth Proportional to 209.45, 313.71 and 175.23

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Solution

The fourth proportional to 209.45, 313.71 and 175.23 is: 262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.45 : 313.71 = 175.23 : x
  2. Step 2: Convert to fraction form
    209.45/313.71 = 175.23/x
  3. Step 3: Cross multiply
    209.45x = 313.71 × 175.23
  4. Step 4: Simplify right side
    209.45x = 54,970.75
  5. Step 5: Solve for x
    x = 54,970.75/209.45
  6. Step 6: Final answer
    x = 262.45

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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.