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Finding the Fourth Proportional to 210.49, 290.31 and 127.56

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Solution

The fourth proportional to 210.49, 290.31 and 127.56 is: 175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.49 : 290.31 = 127.56 : x
  2. Step 2: Convert to fraction form
    210.49/290.31 = 127.56/x
  3. Step 3: Cross multiply
    210.49x = 290.31 × 127.56
  4. Step 4: Simplify right side
    210.49x = 37,031.94
  5. Step 5: Solve for x
    x = 37,031.94/210.49
  6. Step 6: Final answer
    x = 175.93

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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.