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Finding the Fourth Proportional to 328.71, 494.81 and 298.95

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Solution

The fourth proportional to 328.71, 494.81 and 298.95 is: 450.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.71 : 494.81 = 298.95 : x
  2. Step 2: Convert to fraction form
    328.71/494.81 = 298.95/x
  3. Step 3: Cross multiply
    328.71x = 494.81 × 298.95
  4. Step 4: Simplify right side
    328.71x = 147,924.20
  5. Step 5: Solve for x
    x = 147,924.20/328.71
  6. Step 6: Final answer
    x = 450.01

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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.