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Finding the Fourth Proportional to 301.92, 455.56 and 290.68

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Solution

The fourth proportional to 301.92, 455.56 and 290.68 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.92 : 455.56 = 290.68 : x
  2. Step 2: Convert to fraction form
    301.92/455.56 = 290.68/x
  3. Step 3: Cross multiply
    301.92x = 455.56 × 290.68
  4. Step 4: Simplify right side
    301.92x = 132,422.18
  5. Step 5: Solve for x
    x = 132,422.18/301.92
  6. Step 6: Final answer
    x = 438.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.