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Finding the Fourth Proportional to 295.74, 408.02 and 208.53

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Solution

The fourth proportional to 295.74, 408.02 and 208.53 is: 287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.74 : 408.02 = 208.53 : x
  2. Step 2: Convert to fraction form
    295.74/408.02 = 208.53/x
  3. Step 3: Cross multiply
    295.74x = 408.02 × 208.53
  4. Step 4: Simplify right side
    295.74x = 85,083.37
  5. Step 5: Solve for x
    x = 85,083.37/295.74
  6. Step 6: Final answer
    x = 287.70

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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.