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Finding the Fourth Proportional to 208.50, 287.70 and 133.77

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Solution

The fourth proportional to 208.50, 287.70 and 133.77 is: 184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.50 : 287.70 = 133.77 : x
  2. Step 2: Convert to fraction form
    208.50/287.70 = 133.77/x
  3. Step 3: Cross multiply
    208.50x = 287.70 × 133.77
  4. Step 4: Simplify right side
    208.50x = 38,485.63
  5. Step 5: Solve for x
    x = 38,485.63/208.50
  6. Step 6: Final answer
    x = 184.58

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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.