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Finding the Fourth Proportional to 457.37, 630.94 and 299.96

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Solution

The fourth proportional to 457.37, 630.94 and 299.96 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.37 : 630.94 = 299.96 : x
  2. Step 2: Convert to fraction form
    457.37/630.94 = 299.96/x
  3. Step 3: Cross multiply
    457.37x = 630.94 × 299.96
  4. Step 4: Simplify right side
    457.37x = 189,256.76
  5. Step 5: Solve for x
    x = 189,256.76/457.37
  6. Step 6: Final answer
    x = 413.79

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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.