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Finding the Fourth Proportional to 349.44, 483.57 and 302.82

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Solution

The fourth proportional to 349.44, 483.57 and 302.82 is: 419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.44 : 483.57 = 302.82 : x
  2. Step 2: Convert to fraction form
    349.44/483.57 = 302.82/x
  3. Step 3: Cross multiply
    349.44x = 483.57 × 302.82
  4. Step 4: Simplify right side
    349.44x = 146,434.67
  5. Step 5: Solve for x
    x = 146,434.67/349.44
  6. Step 6: Final answer
    x = 419.06

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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.