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Finding the Fourth Proportional to 297.55, 443.07 and 294.29

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Solution

The fourth proportional to 297.55, 443.07 and 294.29 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.55 : 443.07 = 294.29 : x
  2. Step 2: Convert to fraction form
    297.55/443.07 = 294.29/x
  3. Step 3: Cross multiply
    297.55x = 443.07 × 294.29
  4. Step 4: Simplify right side
    297.55x = 130,391.07
  5. Step 5: Solve for x
    x = 130,391.07/297.55
  6. Step 6: Final answer
    x = 438.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.