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Finding the Fourth Proportional to 209.85, 314.78 and 88.03

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Solution

The fourth proportional to 209.85, 314.78 and 88.03 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 314.78 = 88.03 : x
  2. Step 2: Convert to fraction form
    209.85/314.78 = 88.03/x
  3. Step 3: Cross multiply
    209.85x = 314.78 × 88.03
  4. Step 4: Simplify right side
    209.85x = 27,710.08
  5. Step 5: Solve for x
    x = 27,710.08/209.85
  6. Step 6: Final answer
    x = 132.05

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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.