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Finding the Fourth Proportional to 304.02, 418.57 and 288.63

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Solution

The fourth proportional to 304.02, 418.57 and 288.63 is: 397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.02 : 418.57 = 288.63 : x
  2. Step 2: Convert to fraction form
    304.02/418.57 = 288.63/x
  3. Step 3: Cross multiply
    304.02x = 418.57 × 288.63
  4. Step 4: Simplify right side
    304.02x = 120,811.14
  5. Step 5: Solve for x
    x = 120,811.14/304.02
  6. Step 6: Final answer
    x = 397.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.