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Finding the Fourth Proportional to 459.42, 633.71 and 272.78

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Solution

The fourth proportional to 459.42, 633.71 and 272.78 is: 376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.42 : 633.71 = 272.78 : x
  2. Step 2: Convert to fraction form
    459.42/633.71 = 272.78/x
  3. Step 3: Cross multiply
    459.42x = 633.71 × 272.78
  4. Step 4: Simplify right side
    459.42x = 172,861.83
  5. Step 5: Solve for x
    x = 172,861.83/459.42
  6. Step 6: Final answer
    x = 376.26

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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.