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Finding the Fourth Proportional to 460.83, 635.93 and 251.01

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Solution

The fourth proportional to 460.83, 635.93 and 251.01 is: 346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.83 : 635.93 = 251.01 : x
  2. Step 2: Convert to fraction form
    460.83/635.93 = 251.01/x
  3. Step 3: Cross multiply
    460.83x = 635.93 × 251.01
  4. Step 4: Simplify right side
    460.83x = 159,624.79
  5. Step 5: Solve for x
    x = 159,624.79/460.83
  6. Step 6: Final answer
    x = 346.39

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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.