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Finding the Fourth Proportional to 460.23, 635.16 and 285.57

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Solution

The fourth proportional to 460.23, 635.16 and 285.57 is: 394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.23 : 635.16 = 285.57 : x
  2. Step 2: Convert to fraction form
    460.23/635.16 = 285.57/x
  3. Step 3: Cross multiply
    460.23x = 635.16 × 285.57
  4. Step 4: Simplify right side
    460.23x = 181,382.64
  5. Step 5: Solve for x
    x = 181,382.64/460.23
  6. Step 6: Final answer
    x = 394.11

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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.