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Finding the Fourth Proportional to 459.54, 634.29 and 270.65

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Solution

The fourth proportional to 459.54, 634.29 and 270.65 is: 373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 634.29 = 270.65 : x
  2. Step 2: Convert to fraction form
    459.54/634.29 = 270.65/x
  3. Step 3: Cross multiply
    459.54x = 634.29 × 270.65
  4. Step 4: Simplify right side
    459.54x = 171,670.59
  5. Step 5: Solve for x
    x = 171,670.59/459.54
  6. Step 6: Final answer
    x = 373.57

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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.