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Finding the Fourth Proportional to 294.85, 442.59 and 260.83

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Solution

The fourth proportional to 294.85, 442.59 and 260.83 is: 391.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.85 : 442.59 = 260.83 : x
  2. Step 2: Convert to fraction form
    294.85/442.59 = 260.83/x
  3. Step 3: Cross multiply
    294.85x = 442.59 × 260.83
  4. Step 4: Simplify right side
    294.85x = 115,440.75
  5. Step 5: Solve for x
    x = 115,440.75/294.85
  6. Step 6: Final answer
    x = 391.52

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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.