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Finding the Fourth Proportional to 210.40, 290.24 and 134.55

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Solution

The fourth proportional to 210.40, 290.24 and 134.55 is: 185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.40 : 290.24 = 134.55 : x
  2. Step 2: Convert to fraction form
    210.40/290.24 = 134.55/x
  3. Step 3: Cross multiply
    210.40x = 290.24 × 134.55
  4. Step 4: Simplify right side
    210.40x = 39,052.82
  5. Step 5: Solve for x
    x = 39,052.82/210.40
  6. Step 6: Final answer
    x = 185.61

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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.