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Finding the Fourth Proportional to 294.45, 405.82 and 260.50

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Solution

The fourth proportional to 294.45, 405.82 and 260.50 is: 359.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.45 : 405.82 = 260.50 : x
  2. Step 2: Convert to fraction form
    294.45/405.82 = 260.50/x
  3. Step 3: Cross multiply
    294.45x = 405.82 × 260.50
  4. Step 4: Simplify right side
    294.45x = 105,716.11
  5. Step 5: Solve for x
    x = 105,716.11/294.45
  6. Step 6: Final answer
    x = 359.03

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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.