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Finding the Fourth Proportional to 293.63, 437.85 and 286.64

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Solution

The fourth proportional to 293.63, 437.85 and 286.64 is: 427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 437.85 = 286.64 : x
  2. Step 2: Convert to fraction form
    293.63/437.85 = 286.64/x
  3. Step 3: Cross multiply
    293.63x = 437.85 × 286.64
  4. Step 4: Simplify right side
    293.63x = 125,503.13
  5. Step 5: Solve for x
    x = 125,503.13/293.63
  6. Step 6: Final answer
    x = 427.43

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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.