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Finding the Fourth Proportional to 285.58, 428.55 and 141.31

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Solution

The fourth proportional to 285.58, 428.55 and 141.31 is: 212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.58 : 428.55 = 141.31 : x
  2. Step 2: Convert to fraction form
    285.58/428.55 = 141.31/x
  3. Step 3: Cross multiply
    285.58x = 428.55 × 141.31
  4. Step 4: Simplify right side
    285.58x = 60,558.40
  5. Step 5: Solve for x
    x = 60,558.40/285.58
  6. Step 6: Final answer
    x = 212.05

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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.