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Finding the Fourth Proportional to 468.42, 701.15 and 381.02

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Solution

The fourth proportional to 468.42, 701.15 and 381.02 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.42 : 701.15 = 381.02 : x
  2. Step 2: Convert to fraction form
    468.42/701.15 = 381.02/x
  3. Step 3: Cross multiply
    468.42x = 701.15 × 381.02
  4. Step 4: Simplify right side
    468.42x = 267,146.76
  5. Step 5: Solve for x
    x = 267,146.76/468.42
  6. Step 6: Final answer
    x = 570.31

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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.