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Finding the Fourth Proportional to 286.73, 429.79 and 256.35

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Solution

The fourth proportional to 286.73, 429.79 and 256.35 is: 384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.73 : 429.79 = 256.35 : x
  2. Step 2: Convert to fraction form
    286.73/429.79 = 256.35/x
  3. Step 3: Cross multiply
    286.73x = 429.79 × 256.35
  4. Step 4: Simplify right side
    286.73x = 110,176.67
  5. Step 5: Solve for x
    x = 110,176.67/286.73
  6. Step 6: Final answer
    x = 384.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.