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Finding the Fourth Proportional to 257.58, 385.91 and 142.00

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Solution

The fourth proportional to 257.58, 385.91 and 142.00 is: 212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.58 : 385.91 = 142.00 : x
  2. Step 2: Convert to fraction form
    257.58/385.91 = 142.00/x
  3. Step 3: Cross multiply
    257.58x = 385.91 × 142.00
  4. Step 4: Simplify right side
    257.58x = 54,801.05
  5. Step 5: Solve for x
    x = 54,801.05/257.58
  6. Step 6: Final answer
    x = 212.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.