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Finding the Fourth Proportional to 460.34, 635.22 and 253.34

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Solution

The fourth proportional to 460.34, 635.22 and 253.34 is: 349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.34 : 635.22 = 253.34 : x
  2. Step 2: Convert to fraction form
    460.34/635.22 = 253.34/x
  3. Step 3: Cross multiply
    460.34x = 635.22 × 253.34
  4. Step 4: Simplify right side
    460.34x = 160,926.63
  5. Step 5: Solve for x
    x = 160,926.63/460.34
  6. Step 6: Final answer
    x = 349.58

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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.