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Finding the Fourth Proportional to 345, 476.10 and 214.09

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Solution

The fourth proportional to 345, 476.10 and 214.09 is: 295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    345 : 476.10 = 214.09 : x
  2. Step 2: Convert to fraction form
    345/476.10 = 214.09/x
  3. Step 3: Cross multiply
    345x = 476.10 × 214.09
  4. Step 4: Simplify right side
    345x = 101,927.06
  5. Step 5: Solve for x
    x = 101,927.06/345
  6. Step 6: Final answer
    x = 295.44

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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.