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Finding the Fourth Proportional to 360.44, 496.98 and 290.36

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Solution

The fourth proportional to 360.44, 496.98 and 290.36 is: 400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.44 : 496.98 = 290.36 : x
  2. Step 2: Convert to fraction form
    360.44/496.98 = 290.36/x
  3. Step 3: Cross multiply
    360.44x = 496.98 × 290.36
  4. Step 4: Simplify right side
    360.44x = 144,303.11
  5. Step 5: Solve for x
    x = 144,303.11/360.44
  6. Step 6: Final answer
    x = 400.35

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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.