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Finding the Fourth Proportional to 336.51, 463.05 and 305.46

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Solution

The fourth proportional to 336.51, 463.05 and 305.46 is: 420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.51 : 463.05 = 305.46 : x
  2. Step 2: Convert to fraction form
    336.51/463.05 = 305.46/x
  3. Step 3: Cross multiply
    336.51x = 463.05 × 305.46
  4. Step 4: Simplify right side
    336.51x = 141,443.25
  5. Step 5: Solve for x
    x = 141,443.25/336.51
  6. Step 6: Final answer
    x = 420.32

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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.