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Finding the Fourth Proportional to 283.19, 427.33 and 273.02

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Solution

The fourth proportional to 283.19, 427.33 and 273.02 is: 411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.19 : 427.33 = 273.02 : x
  2. Step 2: Convert to fraction form
    283.19/427.33 = 273.02/x
  3. Step 3: Cross multiply
    283.19x = 427.33 × 273.02
  4. Step 4: Simplify right side
    283.19x = 116,666.82
  5. Step 5: Solve for x
    x = 116,666.82/283.19
  6. Step 6: Final answer
    x = 411.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.