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Finding the Fourth Proportional to 446, 615.66 and 290.84

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Solution

The fourth proportional to 446, 615.66 and 290.84 is: 401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 615.66 = 290.84 : x
  2. Step 2: Convert to fraction form
    446/615.66 = 290.84/x
  3. Step 3: Cross multiply
    446x = 615.66 × 290.84
  4. Step 4: Simplify right side
    446x = 179,058.55
  5. Step 5: Solve for x
    x = 179,058.55/446
  6. Step 6: Final answer
    x = 401.48

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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.