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Finding the Fourth Proportional to 353.36, 486.54 and 297.98

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Solution

The fourth proportional to 353.36, 486.54 and 297.98 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.36 : 486.54 = 297.98 : x
  2. Step 2: Convert to fraction form
    353.36/486.54 = 297.98/x
  3. Step 3: Cross multiply
    353.36x = 486.54 × 297.98
  4. Step 4: Simplify right side
    353.36x = 144,978.58
  5. Step 5: Solve for x
    x = 144,978.58/353.36
  6. Step 6: Final answer
    x = 410.28

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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.