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Finding the Fourth Proportional to 455.86, 629.16 and 259.43

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Solution

The fourth proportional to 455.86, 629.16 and 259.43 is: 358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.86 : 629.16 = 259.43 : x
  2. Step 2: Convert to fraction form
    455.86/629.16 = 259.43/x
  3. Step 3: Cross multiply
    455.86x = 629.16 × 259.43
  4. Step 4: Simplify right side
    455.86x = 163,223.58
  5. Step 5: Solve for x
    x = 163,223.58/455.86
  6. Step 6: Final answer
    x = 358.06

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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.