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Finding the Fourth Proportional to 294.49, 406.52 and 210.56

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Solution

The fourth proportional to 294.49, 406.52 and 210.56 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.49 : 406.52 = 210.56 : x
  2. Step 2: Convert to fraction form
    294.49/406.52 = 210.56/x
  3. Step 3: Cross multiply
    294.49x = 406.52 × 210.56
  4. Step 4: Simplify right side
    294.49x = 85,595.85
  5. Step 5: Solve for x
    x = 85,595.85/294.49
  6. Step 6: Final answer
    x = 290.66

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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.