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Finding the Fourth Proportional to 285.15, 427.74 and 268.26

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Solution

The fourth proportional to 285.15, 427.74 and 268.26 is: 402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.15 : 427.74 = 268.26 : x
  2. Step 2: Convert to fraction form
    285.15/427.74 = 268.26/x
  3. Step 3: Cross multiply
    285.15x = 427.74 × 268.26
  4. Step 4: Simplify right side
    285.15x = 114,745.53
  5. Step 5: Solve for x
    x = 114,745.53/285.15
  6. Step 6: Final answer
    x = 402.40

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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.