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Finding the Fourth Proportional to 295.76, 405.22 and 284.84

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Solution

The fourth proportional to 295.76, 405.22 and 284.84 is: 390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.76 : 405.22 = 284.84 : x
  2. Step 2: Convert to fraction form
    295.76/405.22 = 284.84/x
  3. Step 3: Cross multiply
    295.76x = 405.22 × 284.84
  4. Step 4: Simplify right side
    295.76x = 115,422.86
  5. Step 5: Solve for x
    x = 115,422.86/295.76
  6. Step 6: Final answer
    x = 390.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.