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Finding the Fourth Proportional to 208.42, 287.52 and 130.78

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Solution

The fourth proportional to 208.42, 287.52 and 130.78 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.42 : 287.52 = 130.78 : x
  2. Step 2: Convert to fraction form
    208.42/287.52 = 130.78/x
  3. Step 3: Cross multiply
    208.42x = 287.52 × 130.78
  4. Step 4: Simplify right side
    208.42x = 37,601.87
  5. Step 5: Solve for x
    x = 37,601.87/208.42
  6. Step 6: Final answer
    x = 180.41

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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.