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Finding the Fourth Proportional to 887.72, 1,331.64 and 271.46

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Solution

The fourth proportional to 887.72, 1,331.64 and 271.46 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.72 : 1,331.64 = 271.46 : x
  2. Step 2: Convert to fraction form
    887.72/1,331.64 = 271.46/x
  3. Step 3: Cross multiply
    887.72x = 1,331.64 × 271.46
  4. Step 4: Simplify right side
    887.72x = 361,486.99
  5. Step 5: Solve for x
    x = 361,486.99/887.72
  6. Step 6: Final answer
    x = 407.21

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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.