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Finding the Fourth Proportional to 948.18, 1,421.36 and 331.48

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Solution

The fourth proportional to 948.18, 1,421.36 and 331.48 is: 496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.18 : 1,421.36 = 331.48 : x
  2. Step 2: Convert to fraction form
    948.18/1,421.36 = 331.48/x
  3. Step 3: Cross multiply
    948.18x = 1,421.36 × 331.48
  4. Step 4: Simplify right side
    948.18x = 471,152.97
  5. Step 5: Solve for x
    x = 471,152.97/948.18
  6. Step 6: Final answer
    x = 496.90

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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.