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Finding the Fourth Proportional to 287.01, 428.29 and 256.33

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Solution

The fourth proportional to 287.01, 428.29 and 256.33 is: 382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.01 : 428.29 = 256.33 : x
  2. Step 2: Convert to fraction form
    287.01/428.29 = 256.33/x
  3. Step 3: Cross multiply
    287.01x = 428.29 × 256.33
  4. Step 4: Simplify right side
    287.01x = 109,783.47
  5. Step 5: Solve for x
    x = 109,783.47/287.01
  6. Step 6: Final answer
    x = 382.51

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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.