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Finding the Fourth Proportional to 291.12, 399.12 and 283.68

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Solution

The fourth proportional to 291.12, 399.12 and 283.68 is: 388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 399.12 = 283.68 : x
  2. Step 2: Convert to fraction form
    291.12/399.12 = 283.68/x
  3. Step 3: Cross multiply
    291.12x = 399.12 × 283.68
  4. Step 4: Simplify right side
    291.12x = 113,222.36
  5. Step 5: Solve for x
    x = 113,222.36/291.12
  6. Step 6: Final answer
    x = 388.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.