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Finding the Fourth Proportional to 295.95, 408.51 and 208.74

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Solution

The fourth proportional to 295.95, 408.51 and 208.74 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.95 : 408.51 = 208.74 : x
  2. Step 2: Convert to fraction form
    295.95/408.51 = 208.74/x
  3. Step 3: Cross multiply
    295.95x = 408.51 × 208.74
  4. Step 4: Simplify right side
    295.95x = 85,272.38
  5. Step 5: Solve for x
    x = 85,272.38/295.95
  6. Step 6: Final answer
    x = 288.13

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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.