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Finding the Fourth Proportional to 294.47, 441.71 and 78.05

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Solution

The fourth proportional to 294.47, 441.71 and 78.05 is: 117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 441.71 = 78.05 : x
  2. Step 2: Convert to fraction form
    294.47/441.71 = 78.05/x
  3. Step 3: Cross multiply
    294.47x = 441.71 × 78.05
  4. Step 4: Simplify right side
    294.47x = 34,475.47
  5. Step 5: Solve for x
    x = 34,475.47/294.47
  6. Step 6: Final answer
    x = 117.08

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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.