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Finding the Fourth Proportional to 209.70, 314.42 and 101.57

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Solution

The fourth proportional to 209.70, 314.42 and 101.57 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.70 : 314.42 = 101.57 : x
  2. Step 2: Convert to fraction form
    209.70/314.42 = 101.57/x
  3. Step 3: Cross multiply
    209.70x = 314.42 × 101.57
  4. Step 4: Simplify right side
    209.70x = 31,933.56
  5. Step 5: Solve for x
    x = 31,933.56/209.70
  6. Step 6: Final answer
    x = 152.28

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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.