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Finding the Fourth Proportional to 305.29, 457.64 and 227.00

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Solution

The fourth proportional to 305.29, 457.64 and 227.00 is: 340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.29 : 457.64 = 227.00 : x
  2. Step 2: Convert to fraction form
    305.29/457.64 = 227.00/x
  3. Step 3: Cross multiply
    305.29x = 457.64 × 227.00
  4. Step 4: Simplify right side
    305.29x = 103,881.93
  5. Step 5: Solve for x
    x = 103,881.93/305.29
  6. Step 6: Final answer
    x = 340.28

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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.