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Finding the Fourth Proportional to 346.25, 476.43 and 334.28

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Solution

The fourth proportional to 346.25, 476.43 and 334.28 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.25 : 476.43 = 334.28 : x
  2. Step 2: Convert to fraction form
    346.25/476.43 = 334.28/x
  3. Step 3: Cross multiply
    346.25x = 476.43 × 334.28
  4. Step 4: Simplify right side
    346.25x = 159,261.02
  5. Step 5: Solve for x
    x = 159,261.02/346.25
  6. Step 6: Final answer
    x = 459.96

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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.