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Finding the Fourth Proportional to 295.59, 440.94 and 286.74

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Solution

The fourth proportional to 295.59, 440.94 and 286.74 is: 427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.59 : 440.94 = 286.74 : x
  2. Step 2: Convert to fraction form
    295.59/440.94 = 286.74/x
  3. Step 3: Cross multiply
    295.59x = 440.94 × 286.74
  4. Step 4: Simplify right side
    295.59x = 126,435.14
  5. Step 5: Solve for x
    x = 126,435.14/295.59
  6. Step 6: Final answer
    x = 427.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.