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Finding the Fourth Proportional to 290.48, 434.95 and 273.62

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Solution

The fourth proportional to 290.48, 434.95 and 273.62 is: 409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.48 : 434.95 = 273.62 : x
  2. Step 2: Convert to fraction form
    290.48/434.95 = 273.62/x
  3. Step 3: Cross multiply
    290.48x = 434.95 × 273.62
  4. Step 4: Simplify right side
    290.48x = 119,009.25
  5. Step 5: Solve for x
    x = 119,009.25/290.48
  6. Step 6: Final answer
    x = 409.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.