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Finding the Fourth Proportional to 418.50, 577.32 and 271.20

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Solution

The fourth proportional to 418.50, 577.32 and 271.20 is: 374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.50 : 577.32 = 271.20 : x
  2. Step 2: Convert to fraction form
    418.50/577.32 = 271.20/x
  3. Step 3: Cross multiply
    418.50x = 577.32 × 271.20
  4. Step 4: Simplify right side
    418.50x = 156,569.18
  5. Step 5: Solve for x
    x = 156,569.18/418.50
  6. Step 6: Final answer
    x = 374.12

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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.