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Finding the Fourth Proportional to 295.76, 410.24 and 287.84

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Solution

The fourth proportional to 295.76, 410.24 and 287.84 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.76 : 410.24 = 287.84 : x
  2. Step 2: Convert to fraction form
    295.76/410.24 = 287.84/x
  3. Step 3: Cross multiply
    295.76x = 410.24 × 287.84
  4. Step 4: Simplify right side
    295.76x = 118,083.48
  5. Step 5: Solve for x
    x = 118,083.48/295.76
  6. Step 6: Final answer
    x = 399.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.