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Finding the Fourth Proportional to 257.05, 385.31 and 102.77

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Solution

The fourth proportional to 257.05, 385.31 and 102.77 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.05 : 385.31 = 102.77 : x
  2. Step 2: Convert to fraction form
    257.05/385.31 = 102.77/x
  3. Step 3: Cross multiply
    257.05x = 385.31 × 102.77
  4. Step 4: Simplify right side
    257.05x = 39,598.31
  5. Step 5: Solve for x
    x = 39,598.31/257.05
  6. Step 6: Final answer
    x = 154.05

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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.