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Finding the Fourth Proportional to 455.86, 629.07 and 256.69

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Solution

The fourth proportional to 455.86, 629.07 and 256.69 is: 354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.86 : 629.07 = 256.69 : x
  2. Step 2: Convert to fraction form
    455.86/629.07 = 256.69/x
  3. Step 3: Cross multiply
    455.86x = 629.07 × 256.69
  4. Step 4: Simplify right side
    455.86x = 161,472.83
  5. Step 5: Solve for x
    x = 161,472.83/455.86
  6. Step 6: Final answer
    x = 354.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.