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Finding the Fourth Proportional to 291.60, 400.95 and 282.49

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Solution

The fourth proportional to 291.60, 400.95 and 282.49 is: 388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 400.95 = 282.49 : x
  2. Step 2: Convert to fraction form
    291.60/400.95 = 282.49/x
  3. Step 3: Cross multiply
    291.60x = 400.95 × 282.49
  4. Step 4: Simplify right side
    291.60x = 113,263.36
  5. Step 5: Solve for x
    x = 113,263.36/291.60
  6. Step 6: Final answer
    x = 388.42

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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.