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Finding the Fourth Proportional to 296.70, 442.44 and 273.06

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Solution

The fourth proportional to 296.70, 442.44 and 273.06 is: 407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.70 : 442.44 = 273.06 : x
  2. Step 2: Convert to fraction form
    296.70/442.44 = 273.06/x
  3. Step 3: Cross multiply
    296.70x = 442.44 × 273.06
  4. Step 4: Simplify right side
    296.70x = 120,812.67
  5. Step 5: Solve for x
    x = 120,812.67/296.70
  6. Step 6: Final answer
    x = 407.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.