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Finding the Fourth Proportional to 208.21, 287.32 and 114.96

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Solution

The fourth proportional to 208.21, 287.32 and 114.96 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.21 : 287.32 = 114.96 : x
  2. Step 2: Convert to fraction form
    208.21/287.32 = 114.96/x
  3. Step 3: Cross multiply
    208.21x = 287.32 × 114.96
  4. Step 4: Simplify right side
    208.21x = 33,030.31
  5. Step 5: Solve for x
    x = 33,030.31/208.21
  6. Step 6: Final answer
    x = 158.64

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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.