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Finding the Fourth Proportional to 291.84, 399.66 and 290.16

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Solution

The fourth proportional to 291.84, 399.66 and 290.16 is: 397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 399.66 = 290.16 : x
  2. Step 2: Convert to fraction form
    291.84/399.66 = 290.16/x
  3. Step 3: Cross multiply
    291.84x = 399.66 × 290.16
  4. Step 4: Simplify right side
    291.84x = 115,965.35
  5. Step 5: Solve for x
    x = 115,965.35/291.84
  6. Step 6: Final answer
    x = 397.36

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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.