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Finding the Fourth Proportional to 459.19, 633.53 and 272.74

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Solution

The fourth proportional to 459.19, 633.53 and 272.74 is: 376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.19 : 633.53 = 272.74 : x
  2. Step 2: Convert to fraction form
    459.19/633.53 = 272.74/x
  3. Step 3: Cross multiply
    459.19x = 633.53 × 272.74
  4. Step 4: Simplify right side
    459.19x = 172,787.61
  5. Step 5: Solve for x
    x = 172,787.61/459.19
  6. Step 6: Final answer
    x = 376.29

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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.