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Finding the Fourth Proportional to 304.51, 455.87 and 227.81

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Solution

The fourth proportional to 304.51, 455.87 and 227.81 is: 341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.51 : 455.87 = 227.81 : x
  2. Step 2: Convert to fraction form
    304.51/455.87 = 227.81/x
  3. Step 3: Cross multiply
    304.51x = 455.87 × 227.81
  4. Step 4: Simplify right side
    304.51x = 103,851.74
  5. Step 5: Solve for x
    x = 103,851.74/304.51
  6. Step 6: Final answer
    x = 341.05

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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.