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Finding the Fourth Proportional to 336.80, 463.51 and 305.75

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Solution

The fourth proportional to 336.80, 463.51 and 305.75 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 463.51 = 305.75 : x
  2. Step 2: Convert to fraction form
    336.80/463.51 = 305.75/x
  3. Step 3: Cross multiply
    336.80x = 463.51 × 305.75
  4. Step 4: Simplify right side
    336.80x = 141,718.18
  5. Step 5: Solve for x
    x = 141,718.18/336.80
  6. Step 6: Final answer
    x = 420.78

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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.