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Finding the Fourth Proportional to 328.86, 495.21 and 297.90

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Solution

The fourth proportional to 328.86, 495.21 and 297.90 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.86 : 495.21 = 297.90 : x
  2. Step 2: Convert to fraction form
    328.86/495.21 = 297.90/x
  3. Step 3: Cross multiply
    328.86x = 495.21 × 297.90
  4. Step 4: Simplify right side
    328.86x = 147,523.06
  5. Step 5: Solve for x
    x = 147,523.06/328.86
  6. Step 6: Final answer
    x = 448.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.