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Finding the Fourth Proportional to 382.16, 573.27 and 147.98

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Solution

The fourth proportional to 382.16, 573.27 and 147.98 is: 221.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 573.27 = 147.98 : x
  2. Step 2: Convert to fraction form
    382.16/573.27 = 147.98/x
  3. Step 3: Cross multiply
    382.16x = 573.27 × 147.98
  4. Step 4: Simplify right side
    382.16x = 84,829.63
  5. Step 5: Solve for x
    x = 84,829.63/382.16
  6. Step 6: Final answer
    x = 221.98

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Why These Related Problems?

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