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Finding the Fourth Proportional to 1,021, 1,531.50 and 251.50

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Solution

The fourth proportional to 1,021, 1,531.50 and 251.50 is: 377.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021 : 1,531.50 = 251.50 : x
  2. Step 2: Convert to fraction form
    1,021/1,531.50 = 251.50/x
  3. Step 3: Cross multiply
    1,021x = 1,531.50 × 251.50
  4. Step 4: Simplify right side
    1,021x = 385,172.25
  5. Step 5: Solve for x
    x = 385,172.25/1,021
  6. Step 6: Final answer
    x = 377.25

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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.