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Finding the Fourth Proportional to 456.35, 629.80 and 259.85

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Solution

The fourth proportional to 456.35, 629.80 and 259.85 is: 358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.35 : 629.80 = 259.85 : x
  2. Step 2: Convert to fraction form
    456.35/629.80 = 259.85/x
  3. Step 3: Cross multiply
    456.35x = 629.80 × 259.85
  4. Step 4: Simplify right side
    456.35x = 163,654.45
  5. Step 5: Solve for x
    x = 163,654.45/456.35
  6. Step 6: Final answer
    x = 358.62

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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.