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Finding the Fourth Proportional to 460.51, 635.32 and 303.32

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Solution

The fourth proportional to 460.51, 635.32 and 303.32 is: 418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.51 : 635.32 = 303.32 : x
  2. Step 2: Convert to fraction form
    460.51/635.32 = 303.32/x
  3. Step 3: Cross multiply
    460.51x = 635.32 × 303.32
  4. Step 4: Simplify right side
    460.51x = 192,704.59
  5. Step 5: Solve for x
    x = 192,704.59/460.51
  6. Step 6: Final answer
    x = 418.46

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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.