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Finding the Fourth Proportional to 208.47, 311.49 and 153.39

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Solution

The fourth proportional to 208.47, 311.49 and 153.39 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.47 : 311.49 = 153.39 : x
  2. Step 2: Convert to fraction form
    208.47/311.49 = 153.39/x
  3. Step 3: Cross multiply
    208.47x = 311.49 × 153.39
  4. Step 4: Simplify right side
    208.47x = 47,779.45
  5. Step 5: Solve for x
    x = 47,779.45/208.47
  6. Step 6: Final answer
    x = 229.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.