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Finding the Fourth Proportional to 208.04, 287.24 and 152.85

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Solution

The fourth proportional to 208.04, 287.24 and 152.85 is: 211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.04 : 287.24 = 152.85 : x
  2. Step 2: Convert to fraction form
    208.04/287.24 = 152.85/x
  3. Step 3: Cross multiply
    208.04x = 287.24 × 152.85
  4. Step 4: Simplify right side
    208.04x = 43,903.87
  5. Step 5: Solve for x
    x = 43,903.87/208.04
  6. Step 6: Final answer
    x = 211.04

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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.