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Finding the Fourth Proportional to 293.58, 439.59 and 258.98

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Solution

The fourth proportional to 293.58, 439.59 and 258.98 is: 387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.58 : 439.59 = 258.98 : x
  2. Step 2: Convert to fraction form
    293.58/439.59 = 258.98/x
  3. Step 3: Cross multiply
    293.58x = 439.59 × 258.98
  4. Step 4: Simplify right side
    293.58x = 113,845.02
  5. Step 5: Solve for x
    x = 113,845.02/293.58
  6. Step 6: Final answer
    x = 387.78

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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.