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Finding the Fourth Proportional to 344.90, 474.47 and 302.71

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Solution

The fourth proportional to 344.90, 474.47 and 302.71 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.90 : 474.47 = 302.71 : x
  2. Step 2: Convert to fraction form
    344.90/474.47 = 302.71/x
  3. Step 3: Cross multiply
    344.90x = 474.47 × 302.71
  4. Step 4: Simplify right side
    344.90x = 143,622.93
  5. Step 5: Solve for x
    x = 143,622.93/344.90
  6. Step 6: Final answer
    x = 416.42

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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.