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Finding the Fourth Proportional to 294.98, 405.61 and 285.86

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Solution

The fourth proportional to 294.98, 405.61 and 285.86 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 405.61 = 285.86 : x
  2. Step 2: Convert to fraction form
    294.98/405.61 = 285.86/x
  3. Step 3: Cross multiply
    294.98x = 405.61 × 285.86
  4. Step 4: Simplify right side
    294.98x = 115,947.97
  5. Step 5: Solve for x
    x = 115,947.97/294.98
  6. Step 6: Final answer
    x = 393.08

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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.