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Finding the Fourth Proportional to 411.04, 614.04 and 330.08

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Solution

The fourth proportional to 411.04, 614.04 and 330.08 is: 493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.04 : 614.04 = 330.08 : x
  2. Step 2: Convert to fraction form
    411.04/614.04 = 330.08/x
  3. Step 3: Cross multiply
    411.04x = 614.04 × 330.08
  4. Step 4: Simplify right side
    411.04x = 202,682.32
  5. Step 5: Solve for x
    x = 202,682.32/411.04
  6. Step 6: Final answer
    x = 493.10

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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.