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Finding the Fourth Proportional to 257.87, 383.94 and 256.65

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Solution

The fourth proportional to 257.87, 383.94 and 256.65 is: 382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.87 : 383.94 = 256.65 : x
  2. Step 2: Convert to fraction form
    257.87/383.94 = 256.65/x
  3. Step 3: Cross multiply
    257.87x = 383.94 × 256.65
  4. Step 4: Simplify right side
    257.87x = 98,538.20
  5. Step 5: Solve for x
    x = 98,538.20/257.87
  6. Step 6: Final answer
    x = 382.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.