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Finding the Fourth Proportional to 461.40, 635.36 and 330.18

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Solution

The fourth proportional to 461.40, 635.36 and 330.18 is: 454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.40 : 635.36 = 330.18 : x
  2. Step 2: Convert to fraction form
    461.40/635.36 = 330.18/x
  3. Step 3: Cross multiply
    461.40x = 635.36 × 330.18
  4. Step 4: Simplify right side
    461.40x = 209,781.51
  5. Step 5: Solve for x
    x = 209,781.51/461.40
  6. Step 6: Final answer
    x = 454.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.