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Finding the Fourth Proportional to 210.65, 290.75 and 123.35

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Solution

The fourth proportional to 210.65, 290.75 and 123.35 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.65 : 290.75 = 123.35 : x
  2. Step 2: Convert to fraction form
    210.65/290.75 = 123.35/x
  3. Step 3: Cross multiply
    210.65x = 290.75 × 123.35
  4. Step 4: Simplify right side
    210.65x = 35,861.94
  5. Step 5: Solve for x
    x = 35,861.94/210.65
  6. Step 6: Final answer
    x = 170.25

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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.