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Finding the Fourth Proportional to 336.04, 463.65 and 194.25

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Solution

The fourth proportional to 336.04, 463.65 and 194.25 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.04 : 463.65 = 194.25 : x
  2. Step 2: Convert to fraction form
    336.04/463.65 = 194.25/x
  3. Step 3: Cross multiply
    336.04x = 463.65 × 194.25
  4. Step 4: Simplify right side
    336.04x = 90,064.01
  5. Step 5: Solve for x
    x = 90,064.01/336.04
  6. Step 6: Final answer
    x = 268.02

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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.