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Finding the Fourth Proportional to 210.49, 290.49 and 123.16

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Solution

The fourth proportional to 210.49, 290.49 and 123.16 is: 169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.49 : 290.49 = 123.16 : x
  2. Step 2: Convert to fraction form
    210.49/290.49 = 123.16/x
  3. Step 3: Cross multiply
    210.49x = 290.49 × 123.16
  4. Step 4: Simplify right side
    210.49x = 35,776.75
  5. Step 5: Solve for x
    x = 35,776.75/210.49
  6. Step 6: Final answer
    x = 169.97

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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.