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Finding the Fourth Proportional to 294.61, 441.93 and 78.19

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Solution

The fourth proportional to 294.61, 441.93 and 78.19 is: 117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.61 : 441.93 = 78.19 : x
  2. Step 2: Convert to fraction form
    294.61/441.93 = 78.19/x
  3. Step 3: Cross multiply
    294.61x = 441.93 × 78.19
  4. Step 4: Simplify right side
    294.61x = 34,554.51
  5. Step 5: Solve for x
    x = 34,554.51/294.61
  6. Step 6: Final answer
    x = 117.29

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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.