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Finding the Fourth Proportional to 210.49, 290.50 and 177.68

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Solution

The fourth proportional to 210.49, 290.50 and 177.68 is: 245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.49 : 290.50 = 177.68 : x
  2. Step 2: Convert to fraction form
    210.49/290.50 = 177.68/x
  3. Step 3: Cross multiply
    210.49x = 290.50 × 177.68
  4. Step 4: Simplify right side
    210.49x = 51,616.32
  5. Step 5: Solve for x
    x = 51,616.32/210.49
  6. Step 6: Final answer
    x = 245.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.