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Finding the Fourth Proportional to 294.48, 405.48 and 288.09

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Solution

The fourth proportional to 294.48, 405.48 and 288.09 is: 396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.48 : 405.48 = 288.09 : x
  2. Step 2: Convert to fraction form
    294.48/405.48 = 288.09/x
  3. Step 3: Cross multiply
    294.48x = 405.48 × 288.09
  4. Step 4: Simplify right side
    294.48x = 116,814.73
  5. Step 5: Solve for x
    x = 116,814.73/294.48
  6. Step 6: Final answer
    x = 396.68

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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.