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Finding the Fourth Proportional to 455.84, 629.06 and 259.35

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Solution

The fourth proportional to 455.84, 629.06 and 259.35 is: 357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.84 : 629.06 = 259.35 : x
  2. Step 2: Convert to fraction form
    455.84/629.06 = 259.35/x
  3. Step 3: Cross multiply
    455.84x = 629.06 × 259.35
  4. Step 4: Simplify right side
    455.84x = 163,143.06
  5. Step 5: Solve for x
    x = 163,143.06/455.84
  6. Step 6: Final answer
    x = 357.90

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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.