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Finding the Fourth Proportional to 287.42, 428.90 and 250.97

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Solution

The fourth proportional to 287.42, 428.90 and 250.97 is: 374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.42 : 428.90 = 250.97 : x
  2. Step 2: Convert to fraction form
    287.42/428.90 = 250.97/x
  3. Step 3: Cross multiply
    287.42x = 428.90 × 250.97
  4. Step 4: Simplify right side
    287.42x = 107,637.63
  5. Step 5: Solve for x
    x = 107,637.63/287.42
  6. Step 6: Final answer
    x = 374.50

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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.