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Finding the Fourth Proportional to 210.51, 290.45 and 126.47

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Solution

The fourth proportional to 210.51, 290.45 and 126.47 is: 174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.51 : 290.45 = 126.47 : x
  2. Step 2: Convert to fraction form
    210.51/290.45 = 126.47/x
  3. Step 3: Cross multiply
    210.51x = 290.45 × 126.47
  4. Step 4: Simplify right side
    210.51x = 36,734.25
  5. Step 5: Solve for x
    x = 36,734.25/210.51
  6. Step 6: Final answer
    x = 174.50

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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.