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Finding the Fourth Proportional to 282.42, 389.70 and 165.96

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Solution

The fourth proportional to 282.42, 389.70 and 165.96 is: 229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 389.70 = 165.96 : x
  2. Step 2: Convert to fraction form
    282.42/389.70 = 165.96/x
  3. Step 3: Cross multiply
    282.42x = 389.70 × 165.96
  4. Step 4: Simplify right side
    282.42x = 64,674.61
  5. Step 5: Solve for x
    x = 64,674.61/282.42
  6. Step 6: Final answer
    x = 229.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.