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Finding the Fourth Proportional to 328.83, 490.65 and 298.05

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Solution

The fourth proportional to 328.83, 490.65 and 298.05 is: 444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.83 : 490.65 = 298.05 : x
  2. Step 2: Convert to fraction form
    328.83/490.65 = 298.05/x
  3. Step 3: Cross multiply
    328.83x = 490.65 × 298.05
  4. Step 4: Simplify right side
    328.83x = 146,238.23
  5. Step 5: Solve for x
    x = 146,238.23/328.83
  6. Step 6: Final answer
    x = 444.72

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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.