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Finding the Fourth Proportional to 455.90, 629.12 and 259.44

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Solution

The fourth proportional to 455.90, 629.12 and 259.44 is: 358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.90 : 629.12 = 259.44 : x
  2. Step 2: Convert to fraction form
    455.90/629.12 = 259.44/x
  3. Step 3: Cross multiply
    455.90x = 629.12 × 259.44
  4. Step 4: Simplify right side
    455.90x = 163,218.89
  5. Step 5: Solve for x
    x = 163,218.89/455.90
  6. Step 6: Final answer
    x = 358.01

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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.