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Finding the Fourth Proportional to 304.21, 417.08 and 298.75

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Solution

The fourth proportional to 304.21, 417.08 and 298.75 is: 409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.21 : 417.08 = 298.75 : x
  2. Step 2: Convert to fraction form
    304.21/417.08 = 298.75/x
  3. Step 3: Cross multiply
    304.21x = 417.08 × 298.75
  4. Step 4: Simplify right side
    304.21x = 124,602.65
  5. Step 5: Solve for x
    x = 124,602.65/304.21
  6. Step 6: Final answer
    x = 409.59

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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.