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Finding the Fourth Proportional to 295.98, 444.45 and 259.59

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Solution

The fourth proportional to 295.98, 444.45 and 259.59 is: 389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.98 : 444.45 = 259.59 : x
  2. Step 2: Convert to fraction form
    295.98/444.45 = 259.59/x
  3. Step 3: Cross multiply
    295.98x = 444.45 × 259.59
  4. Step 4: Simplify right side
    295.98x = 115,374.78
  5. Step 5: Solve for x
    x = 115,374.78/295.98
  6. Step 6: Final answer
    x = 389.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.