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Finding the Fourth Proportional to 294.72, 442.08 and 78.31

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Solution

The fourth proportional to 294.72, 442.08 and 78.31 is: 117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.72 : 442.08 = 78.31 : x
  2. Step 2: Convert to fraction form
    294.72/442.08 = 78.31/x
  3. Step 3: Cross multiply
    294.72x = 442.08 × 78.31
  4. Step 4: Simplify right side
    294.72x = 34,619.28
  5. Step 5: Solve for x
    x = 34,619.28/294.72
  6. Step 6: Final answer
    x = 117.47

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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.