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Finding the Fourth Proportional to 295.64, 406.21 and 276.68

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Solution

The fourth proportional to 295.64, 406.21 and 276.68 is: 380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.64 : 406.21 = 276.68 : x
  2. Step 2: Convert to fraction form
    295.64/406.21 = 276.68/x
  3. Step 3: Cross multiply
    295.64x = 406.21 × 276.68
  4. Step 4: Simplify right side
    295.64x = 112,390.18
  5. Step 5: Solve for x
    x = 112,390.18/295.64
  6. Step 6: Final answer
    x = 380.16

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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.