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Finding the Fourth Proportional to 346.20, 474.51 and 343.80

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Solution

The fourth proportional to 346.20, 474.51 and 343.80 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.20 : 474.51 = 343.80 : x
  2. Step 2: Convert to fraction form
    346.20/474.51 = 343.80/x
  3. Step 3: Cross multiply
    346.20x = 474.51 × 343.80
  4. Step 4: Simplify right side
    346.20x = 163,136.54
  5. Step 5: Solve for x
    x = 163,136.54/346.20
  6. Step 6: Final answer
    x = 471.22

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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.