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Finding the Fourth Proportional to 297.55, 443.88 and 289.17

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Solution

The fourth proportional to 297.55, 443.88 and 289.17 is: 431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.55 : 443.88 = 289.17 : x
  2. Step 2: Convert to fraction form
    297.55/443.88 = 289.17/x
  3. Step 3: Cross multiply
    297.55x = 443.88 × 289.17
  4. Step 4: Simplify right side
    297.55x = 128,357.32
  5. Step 5: Solve for x
    x = 128,357.32/297.55
  6. Step 6: Final answer
    x = 431.38

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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.