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Finding the Fourth Proportional to 306.21, 456.53 and 277.05

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Solution

The fourth proportional to 306.21, 456.53 and 277.05 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.21 : 456.53 = 277.05 : x
  2. Step 2: Convert to fraction form
    306.21/456.53 = 277.05/x
  3. Step 3: Cross multiply
    306.21x = 456.53 × 277.05
  4. Step 4: Simplify right side
    306.21x = 126,481.64
  5. Step 5: Solve for x
    x = 126,481.64/306.21
  6. Step 6: Final answer
    x = 413.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.