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Finding the Fourth Proportional to 294.59, 441.86 and 102.21

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Solution

The fourth proportional to 294.59, 441.86 and 102.21 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.59 : 441.86 = 102.21 : x
  2. Step 2: Convert to fraction form
    294.59/441.86 = 102.21/x
  3. Step 3: Cross multiply
    294.59x = 441.86 × 102.21
  4. Step 4: Simplify right side
    294.59x = 45,162.00
  5. Step 5: Solve for x
    x = 45,162.00/294.59
  6. Step 6: Final answer
    x = 153.31

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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.