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Finding the Fourth Proportional to 341.77, 471.35 and 208.89

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Solution

The fourth proportional to 341.77, 471.35 and 208.89 is: 288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.77 : 471.35 = 208.89 : x
  2. Step 2: Convert to fraction form
    341.77/471.35 = 208.89/x
  3. Step 3: Cross multiply
    341.77x = 471.35 × 208.89
  4. Step 4: Simplify right side
    341.77x = 98,459.26
  5. Step 5: Solve for x
    x = 98,459.26/341.77
  6. Step 6: Final answer
    x = 288.09

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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.