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Finding the Fourth Proportional to 257.07, 385.82 and 120.05

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Solution

The fourth proportional to 257.07, 385.82 and 120.05 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.07 : 385.82 = 120.05 : x
  2. Step 2: Convert to fraction form
    257.07/385.82 = 120.05/x
  3. Step 3: Cross multiply
    257.07x = 385.82 × 120.05
  4. Step 4: Simplify right side
    257.07x = 46,315.16
  5. Step 5: Solve for x
    x = 46,315.16/257.07
  6. Step 6: Final answer
    x = 180.17

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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.