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Finding the Fourth Proportional to 210.54, 290.40 and 131.77

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Solution

The fourth proportional to 210.54, 290.40 and 131.77 is: 181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 290.40 = 131.77 : x
  2. Step 2: Convert to fraction form
    210.54/290.40 = 131.77/x
  3. Step 3: Cross multiply
    210.54x = 290.40 × 131.77
  4. Step 4: Simplify right side
    210.54x = 38,266.01
  5. Step 5: Solve for x
    x = 38,266.01/210.54
  6. Step 6: Final answer
    x = 181.75

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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.