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Finding the Fourth Proportional to 286.02, 427.01 and 263.16

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Solution

The fourth proportional to 286.02, 427.01 and 263.16 is: 392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 427.01 = 263.16 : x
  2. Step 2: Convert to fraction form
    286.02/427.01 = 263.16/x
  3. Step 3: Cross multiply
    286.02x = 427.01 × 263.16
  4. Step 4: Simplify right side
    286.02x = 112,370.64
  5. Step 5: Solve for x
    x = 112,370.64/286.02
  6. Step 6: Final answer
    x = 392.88

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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.