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Finding the Fourth Proportional to 304.63, 417.08 and 294.10

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Solution

The fourth proportional to 304.63, 417.08 and 294.10 is: 402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.63 : 417.08 = 294.10 : x
  2. Step 2: Convert to fraction form
    304.63/417.08 = 294.10/x
  3. Step 3: Cross multiply
    304.63x = 417.08 × 294.10
  4. Step 4: Simplify right side
    304.63x = 122,662.92
  5. Step 5: Solve for x
    x = 122,662.92/304.63
  6. Step 6: Final answer
    x = 402.67

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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.