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Finding the Fourth Proportional to 294.71, 442.34 and 229.94

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Solution

The fourth proportional to 294.71, 442.34 and 229.94 is: 345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.71 : 442.34 = 229.94 : x
  2. Step 2: Convert to fraction form
    294.71/442.34 = 229.94/x
  3. Step 3: Cross multiply
    294.71x = 442.34 × 229.94
  4. Step 4: Simplify right side
    294.71x = 101,710.17
  5. Step 5: Solve for x
    x = 101,710.17/294.71
  6. Step 6: Final answer
    x = 345.12

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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.