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Finding the Fourth Proportional to 346.21, 477.77 and 213.37

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Solution

The fourth proportional to 346.21, 477.77 and 213.37 is: 294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.21 : 477.77 = 213.37 : x
  2. Step 2: Convert to fraction form
    346.21/477.77 = 213.37/x
  3. Step 3: Cross multiply
    346.21x = 477.77 × 213.37
  4. Step 4: Simplify right side
    346.21x = 101,939.52
  5. Step 5: Solve for x
    x = 101,939.52/346.21
  6. Step 6: Final answer
    x = 294.45

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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.