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Finding the Fourth Proportional to 294.64, 439.83 and 258.19

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Solution

The fourth proportional to 294.64, 439.83 and 258.19 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 439.83 = 258.19 : x
  2. Step 2: Convert to fraction form
    294.64/439.83 = 258.19/x
  3. Step 3: Cross multiply
    294.64x = 439.83 × 258.19
  4. Step 4: Simplify right side
    294.64x = 113,558.61
  5. Step 5: Solve for x
    x = 113,558.61/294.64
  6. Step 6: Final answer
    x = 385.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.