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Finding the Fourth Proportional to 297.91, 444.36 and 288.80

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Solution

The fourth proportional to 297.91, 444.36 and 288.80 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.91 : 444.36 = 288.80 : x
  2. Step 2: Convert to fraction form
    297.91/444.36 = 288.80/x
  3. Step 3: Cross multiply
    297.91x = 444.36 × 288.80
  4. Step 4: Simplify right side
    297.91x = 128,329.26
  5. Step 5: Solve for x
    x = 128,329.26/297.91
  6. Step 6: Final answer
    x = 430.76

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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.