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Finding the Fourth Proportional to 294.44, 441.65 and 78.01

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Solution

The fourth proportional to 294.44, 441.65 and 78.01 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.44 : 441.65 = 78.01 : x
  2. Step 2: Convert to fraction form
    294.44/441.65 = 78.01/x
  3. Step 3: Cross multiply
    294.44x = 441.65 × 78.01
  4. Step 4: Simplify right side
    294.44x = 34,453.12
  5. Step 5: Solve for x
    x = 34,453.12/294.44
  6. Step 6: Final answer
    x = 117.01

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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.