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Finding the Fourth Proportional to 459.46, 634.06 and 260.30

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Solution

The fourth proportional to 459.46, 634.06 and 260.30 is: 359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.46 : 634.06 = 260.30 : x
  2. Step 2: Convert to fraction form
    459.46/634.06 = 260.30/x
  3. Step 3: Cross multiply
    459.46x = 634.06 × 260.30
  4. Step 4: Simplify right side
    459.46x = 165,046.75
  5. Step 5: Solve for x
    x = 165,046.75/459.46
  6. Step 6: Final answer
    x = 359.22

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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.