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Finding the Fourth Proportional to 304.83, 454.22 and 290.13

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Solution

The fourth proportional to 304.83, 454.22 and 290.13 is: 432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.83 : 454.22 = 290.13 : x
  2. Step 2: Convert to fraction form
    304.83/454.22 = 290.13/x
  3. Step 3: Cross multiply
    304.83x = 454.22 × 290.13
  4. Step 4: Simplify right side
    304.83x = 131,781.40
  5. Step 5: Solve for x
    x = 131,781.40/304.83
  6. Step 6: Final answer
    x = 432.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.