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Finding the Fourth Proportional to 460.10, 634.80 and 285.32

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Solution

The fourth proportional to 460.10, 634.80 and 285.32 is: 393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 634.80 = 285.32 : x
  2. Step 2: Convert to fraction form
    460.10/634.80 = 285.32/x
  3. Step 3: Cross multiply
    460.10x = 634.80 × 285.32
  4. Step 4: Simplify right side
    460.10x = 181,121.14
  5. Step 5: Solve for x
    x = 181,121.14/460.10
  6. Step 6: Final answer
    x = 393.66

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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.