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Finding the Fourth Proportional to 341.06, 470.65 and 208.13

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Solution

The fourth proportional to 341.06, 470.65 and 208.13 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.06 : 470.65 = 208.13 : x
  2. Step 2: Convert to fraction form
    341.06/470.65 = 208.13/x
  3. Step 3: Cross multiply
    341.06x = 470.65 × 208.13
  4. Step 4: Simplify right side
    341.06x = 97,956.55
  5. Step 5: Solve for x
    x = 97,956.55/341.06
  6. Step 6: Final answer
    x = 287.21

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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.