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Finding the Fourth Proportional to 328.07, 490.88 and 297.70

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Solution

The fourth proportional to 328.07, 490.88 and 297.70 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.07 : 490.88 = 297.70 : x
  2. Step 2: Convert to fraction form
    328.07/490.88 = 297.70/x
  3. Step 3: Cross multiply
    328.07x = 490.88 × 297.70
  4. Step 4: Simplify right side
    328.07x = 146,134.49
  5. Step 5: Solve for x
    x = 146,134.49/328.07
  6. Step 6: Final answer
    x = 445.43

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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.