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Finding the Fourth Proportional to 341.84, 471.75 and 209.15

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Solution

The fourth proportional to 341.84, 471.75 and 209.15 is: 288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.84 : 471.75 = 209.15 : x
  2. Step 2: Convert to fraction form
    341.84/471.75 = 209.15/x
  3. Step 3: Cross multiply
    341.84x = 471.75 × 209.15
  4. Step 4: Simplify right side
    341.84x = 98,666.51
  5. Step 5: Solve for x
    x = 98,666.51/341.84
  6. Step 6: Final answer
    x = 288.63

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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.