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Finding the Fourth Proportional to 493.02, 737.74 and 297.31

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Solution

The fourth proportional to 493.02, 737.74 and 297.31 is: 444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 737.74 = 297.31 : x
  2. Step 2: Convert to fraction form
    493.02/737.74 = 297.31/x
  3. Step 3: Cross multiply
    493.02x = 737.74 × 297.31
  4. Step 4: Simplify right side
    493.02x = 219,337.48
  5. Step 5: Solve for x
    x = 219,337.48/493.02
  6. Step 6: Final answer
    x = 444.89

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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.