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Finding the Fourth Proportional to 304.95, 417.12 and 303.72

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Solution

The fourth proportional to 304.95, 417.12 and 303.72 is: 415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.95 : 417.12 = 303.72 : x
  2. Step 2: Convert to fraction form
    304.95/417.12 = 303.72/x
  3. Step 3: Cross multiply
    304.95x = 417.12 × 303.72
  4. Step 4: Simplify right side
    304.95x = 126,687.69
  5. Step 5: Solve for x
    x = 126,687.69/304.95
  6. Step 6: Final answer
    x = 415.44

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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.