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Finding the Fourth Proportional to 208.69, 313.23 and 117.56

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Solution

The fourth proportional to 208.69, 313.23 and 117.56 is: 176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 313.23 = 117.56 : x
  2. Step 2: Convert to fraction form
    208.69/313.23 = 117.56/x
  3. Step 3: Cross multiply
    208.69x = 313.23 × 117.56
  4. Step 4: Simplify right side
    208.69x = 36,823.32
  5. Step 5: Solve for x
    x = 36,823.32/208.69
  6. Step 6: Final answer
    x = 176.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.