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Finding the Fourth Proportional to 336.04, 463.64 and 291.96

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Solution

The fourth proportional to 336.04, 463.64 and 291.96 is: 402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.04 : 463.64 = 291.96 : x
  2. Step 2: Convert to fraction form
    336.04/463.64 = 291.96/x
  3. Step 3: Cross multiply
    336.04x = 463.64 × 291.96
  4. Step 4: Simplify right side
    336.04x = 135,364.33
  5. Step 5: Solve for x
    x = 135,364.33/336.04
  6. Step 6: Final answer
    x = 402.82

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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.