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Finding the Fourth Proportional to 345.94, 477.31 and 206.10

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Solution

The fourth proportional to 345.94, 477.31 and 206.10 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 477.31 = 206.10 : x
  2. Step 2: Convert to fraction form
    345.94/477.31 = 206.10/x
  3. Step 3: Cross multiply
    345.94x = 477.31 × 206.10
  4. Step 4: Simplify right side
    345.94x = 98,370.17
  5. Step 5: Solve for x
    x = 98,370.17/345.94
  6. Step 6: Final answer
    x = 284.36

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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.