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Finding the Fourth Proportional to 294.64, 442.28 and 173.12

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Solution

The fourth proportional to 294.64, 442.28 and 173.12 is: 259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 442.28 = 173.12 : x
  2. Step 2: Convert to fraction form
    294.64/442.28 = 173.12/x
  3. Step 3: Cross multiply
    294.64x = 442.28 × 173.12
  4. Step 4: Simplify right side
    294.64x = 76,567.51
  5. Step 5: Solve for x
    x = 76,567.51/294.64
  6. Step 6: Final answer
    x = 259.87

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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.