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Finding the Fourth Proportional to 209.99, 315.14 and 117.35

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Solution

The fourth proportional to 209.99, 315.14 and 117.35 is: 176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 315.14 = 117.35 : x
  2. Step 2: Convert to fraction form
    209.99/315.14 = 117.35/x
  3. Step 3: Cross multiply
    209.99x = 315.14 × 117.35
  4. Step 4: Simplify right side
    209.99x = 36,981.36
  5. Step 5: Solve for x
    x = 36,981.36/209.99
  6. Step 6: Final answer
    x = 176.11

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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.