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Finding the Fourth Proportional to 285.10, 427.53 and 131.08

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Solution

The fourth proportional to 285.10, 427.53 and 131.08 is: 196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.10 : 427.53 = 131.08 : x
  2. Step 2: Convert to fraction form
    285.10/427.53 = 131.08/x
  3. Step 3: Cross multiply
    285.10x = 427.53 × 131.08
  4. Step 4: Simplify right side
    285.10x = 56,040.12
  5. Step 5: Solve for x
    x = 56,040.12/285.10
  6. Step 6: Final answer
    x = 196.56

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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.