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Finding the Fourth Proportional to 312.11, 428.51 and 304.08

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Solution

The fourth proportional to 312.11, 428.51 and 304.08 is: 417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.11 : 428.51 = 304.08 : x
  2. Step 2: Convert to fraction form
    312.11/428.51 = 304.08/x
  3. Step 3: Cross multiply
    312.11x = 428.51 × 304.08
  4. Step 4: Simplify right side
    312.11x = 130,301.32
  5. Step 5: Solve for x
    x = 130,301.32/312.11
  6. Step 6: Final answer
    x = 417.49

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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.