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Finding the Fourth Proportional to 285.40, 371.43 and 285.40

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Solution

The fourth proportional to 285.40, 371.43 and 285.40 is: 371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.40 : 371.43 = 285.40 : x
  2. Step 2: Convert to fraction form
    285.40/371.43 = 285.40/x
  3. Step 3: Cross multiply
    285.40x = 371.43 × 285.40
  4. Step 4: Simplify right side
    285.40x = 106,006.12
  5. Step 5: Solve for x
    x = 106,006.12/285.40
  6. Step 6: Final answer
    x = 371.43

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.