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Finding the Fourth Proportional to 209.66, 288.95 and 168.35

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Solution

The fourth proportional to 209.66, 288.95 and 168.35 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.66 : 288.95 = 168.35 : x
  2. Step 2: Convert to fraction form
    209.66/288.95 = 168.35/x
  3. Step 3: Cross multiply
    209.66x = 288.95 × 168.35
  4. Step 4: Simplify right side
    209.66x = 48,642.45
  5. Step 5: Solve for x
    x = 48,642.45/209.66
  6. Step 6: Final answer
    x = 232.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.