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Finding the Fourth Proportional to 460.23, 634.93 and 320.46

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Solution

The fourth proportional to 460.23, 634.93 and 320.46 is: 442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.23 : 634.93 = 320.46 : x
  2. Step 2: Convert to fraction form
    460.23/634.93 = 320.46/x
  3. Step 3: Cross multiply
    460.23x = 634.93 × 320.46
  4. Step 4: Simplify right side
    460.23x = 203,466.49
  5. Step 5: Solve for x
    x = 203,466.49/460.23
  6. Step 6: Final answer
    x = 442.10

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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.