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Finding the Fourth Proportional to 209.80, 314.52 and 101.80

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Solution

The fourth proportional to 209.80, 314.52 and 101.80 is: 152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.80 : 314.52 = 101.80 : x
  2. Step 2: Convert to fraction form
    209.80/314.52 = 101.80/x
  3. Step 3: Cross multiply
    209.80x = 314.52 × 101.80
  4. Step 4: Simplify right side
    209.80x = 32,018.14
  5. Step 5: Solve for x
    x = 32,018.14/209.80
  6. Step 6: Final answer
    x = 152.61

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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.