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Finding the Fourth Proportional to 286.88, 428.16 and 283.77

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Solution

The fourth proportional to 286.88, 428.16 and 283.77 is: 423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.88 : 428.16 = 283.77 : x
  2. Step 2: Convert to fraction form
    286.88/428.16 = 283.77/x
  3. Step 3: Cross multiply
    286.88x = 428.16 × 283.77
  4. Step 4: Simplify right side
    286.88x = 121,499.23
  5. Step 5: Solve for x
    x = 121,499.23/286.88
  6. Step 6: Final answer
    x = 423.53

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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.