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Finding the Fourth Proportional to 302.56, 450.86 and 286

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Solution

The fourth proportional to 302.56, 450.86 and 286 is: 426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 450.86 = 286 : x
  2. Step 2: Convert to fraction form
    302.56/450.86 = 286/x
  3. Step 3: Cross multiply
    302.56x = 450.86 × 286
  4. Step 4: Simplify right side
    302.56x = 128,945.96
  5. Step 5: Solve for x
    x = 128,945.96/302.56
  6. Step 6: Final answer
    x = 426.18

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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.