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Finding the Fourth Proportional to 304.12, 418.98 and 289.72

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Solution

The fourth proportional to 304.12, 418.98 and 289.72 is: 399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.12 : 418.98 = 289.72 : x
  2. Step 2: Convert to fraction form
    304.12/418.98 = 289.72/x
  3. Step 3: Cross multiply
    304.12x = 418.98 × 289.72
  4. Step 4: Simplify right side
    304.12x = 121,386.89
  5. Step 5: Solve for x
    x = 121,386.89/304.12
  6. Step 6: Final answer
    x = 399.14

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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.