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Finding the Fourth Proportional to 286.27, 430.92 and 256.50

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Solution

The fourth proportional to 286.27, 430.92 and 256.50 is: 386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.27 : 430.92 = 256.50 : x
  2. Step 2: Convert to fraction form
    286.27/430.92 = 256.50/x
  3. Step 3: Cross multiply
    286.27x = 430.92 × 256.50
  4. Step 4: Simplify right side
    286.27x = 110,530.98
  5. Step 5: Solve for x
    x = 110,530.98/286.27
  6. Step 6: Final answer
    x = 386.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.