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Finding the Fourth Proportional to 208.52, 287.78 and 120.01

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Solution

The fourth proportional to 208.52, 287.78 and 120.01 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.52 : 287.78 = 120.01 : x
  2. Step 2: Convert to fraction form
    208.52/287.78 = 120.01/x
  3. Step 3: Cross multiply
    208.52x = 287.78 × 120.01
  4. Step 4: Simplify right side
    208.52x = 34,535.19
  5. Step 5: Solve for x
    x = 34,535.19/208.52
  6. Step 6: Final answer
    x = 165.62

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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.