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Finding the Fourth Proportional to 286.16, 427.32 and 253.04

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Solution

The fourth proportional to 286.16, 427.32 and 253.04 is: 377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.16 : 427.32 = 253.04 : x
  2. Step 2: Convert to fraction form
    286.16/427.32 = 253.04/x
  3. Step 3: Cross multiply
    286.16x = 427.32 × 253.04
  4. Step 4: Simplify right side
    286.16x = 108,129.05
  5. Step 5: Solve for x
    x = 108,129.05/286.16
  6. Step 6: Final answer
    x = 377.86

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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.