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Finding the Fourth Proportional to 208.79, 287.62 and 146.50

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Solution

The fourth proportional to 208.79, 287.62 and 146.50 is: 201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.79 : 287.62 = 146.50 : x
  2. Step 2: Convert to fraction form
    208.79/287.62 = 146.50/x
  3. Step 3: Cross multiply
    208.79x = 287.62 × 146.50
  4. Step 4: Simplify right side
    208.79x = 42,135.24
  5. Step 5: Solve for x
    x = 42,135.24/208.79
  6. Step 6: Final answer
    x = 201.81

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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.