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Finding the Fourth Proportional to 257, 385.27 and 94.65

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Solution

The fourth proportional to 257, 385.27 and 94.65 is: 141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 385.27 = 94.65 : x
  2. Step 2: Convert to fraction form
    257/385.27 = 94.65/x
  3. Step 3: Cross multiply
    257x = 385.27 × 94.65
  4. Step 4: Simplify right side
    257x = 36,465.81
  5. Step 5: Solve for x
    x = 36,465.81/257
  6. Step 6: Final answer
    x = 141.89

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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.