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Finding the Fourth Proportional to 635.02, 952.08 and 301.28

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Solution

The fourth proportional to 635.02, 952.08 and 301.28 is: 451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.02 : 952.08 = 301.28 : x
  2. Step 2: Convert to fraction form
    635.02/952.08 = 301.28/x
  3. Step 3: Cross multiply
    635.02x = 952.08 × 301.28
  4. Step 4: Simplify right side
    635.02x = 286,841.16
  5. Step 5: Solve for x
    x = 286,841.16/635.02
  6. Step 6: Final answer
    x = 451.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.