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Finding the Fourth Proportional to 438.19, 604.71 and 283.21

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Solution

The fourth proportional to 438.19, 604.71 and 283.21 is: 390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.19 : 604.71 = 283.21 : x
  2. Step 2: Convert to fraction form
    438.19/604.71 = 283.21/x
  3. Step 3: Cross multiply
    438.19x = 604.71 × 283.21
  4. Step 4: Simplify right side
    438.19x = 171,257.35
  5. Step 5: Solve for x
    x = 171,257.35/438.19
  6. Step 6: Final answer
    x = 390.83

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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.