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Finding the Fourth Proportional to 302.72, 418.52 and 289.82

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Solution

The fourth proportional to 302.72, 418.52 and 289.82 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.72 : 418.52 = 289.82 : x
  2. Step 2: Convert to fraction form
    302.72/418.52 = 289.82/x
  3. Step 3: Cross multiply
    302.72x = 418.52 × 289.82
  4. Step 4: Simplify right side
    302.72x = 121,291.92
  5. Step 5: Solve for x
    x = 121,291.92/302.72
  6. Step 6: Final answer
    x = 400.68

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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.