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Finding the Fourth Proportional to 305.28, 419.73 and 271.77

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Solution

The fourth proportional to 305.28, 419.73 and 271.77 is: 373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 419.73 = 271.77 : x
  2. Step 2: Convert to fraction form
    305.28/419.73 = 271.77/x
  3. Step 3: Cross multiply
    305.28x = 419.73 × 271.77
  4. Step 4: Simplify right side
    305.28x = 114,070.02
  5. Step 5: Solve for x
    x = 114,070.02/305.28
  6. Step 6: Final answer
    x = 373.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.