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Finding the Fourth Proportional to 208.95, 288.37 and 120.40

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Solution

The fourth proportional to 208.95, 288.37 and 120.40 is: 166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 288.37 = 120.40 : x
  2. Step 2: Convert to fraction form
    208.95/288.37 = 120.40/x
  3. Step 3: Cross multiply
    208.95x = 288.37 × 120.40
  4. Step 4: Simplify right side
    208.95x = 34,720.46
  5. Step 5: Solve for x
    x = 34,720.46/208.95
  6. Step 6: Final answer
    x = 166.16

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Why These Related Problems?

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