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Finding the Fourth Proportional to 262.37, 390.96 and 257.78

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Solution

The fourth proportional to 262.37, 390.96 and 257.78 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.37 : 390.96 = 257.78 : x
  2. Step 2: Convert to fraction form
    262.37/390.96 = 257.78/x
  3. Step 3: Cross multiply
    262.37x = 390.96 × 257.78
  4. Step 4: Simplify right side
    262.37x = 100,782.65
  5. Step 5: Solve for x
    x = 100,782.65/262.37
  6. Step 6: Final answer
    x = 384.12

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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.