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Finding the Fourth Proportional to 297.78, 445.56 and 288.56

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Solution

The fourth proportional to 297.78, 445.56 and 288.56 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 445.56 = 288.56 : x
  2. Step 2: Convert to fraction form
    297.78/445.56 = 288.56/x
  3. Step 3: Cross multiply
    297.78x = 445.56 × 288.56
  4. Step 4: Simplify right side
    297.78x = 128,570.79
  5. Step 5: Solve for x
    x = 128,570.79/297.78
  6. Step 6: Final answer
    x = 431.76

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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.