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Finding the Fourth Proportional to 293.30, 438.69 and 285.44

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Solution

The fourth proportional to 293.30, 438.69 and 285.44 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.30 : 438.69 = 285.44 : x
  2. Step 2: Convert to fraction form
    293.30/438.69 = 285.44/x
  3. Step 3: Cross multiply
    293.30x = 438.69 × 285.44
  4. Step 4: Simplify right side
    293.30x = 125,219.67
  5. Step 5: Solve for x
    x = 125,219.67/293.30
  6. Step 6: Final answer
    x = 426.93

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