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Finding the Fourth Proportional to 210.52, 290.34 and 136.78

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Solution

The fourth proportional to 210.52, 290.34 and 136.78 is: 188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.52 : 290.34 = 136.78 : x
  2. Step 2: Convert to fraction form
    210.52/290.34 = 136.78/x
  3. Step 3: Cross multiply
    210.52x = 290.34 × 136.78
  4. Step 4: Simplify right side
    210.52x = 39,712.71
  5. Step 5: Solve for x
    x = 39,712.71/210.52
  6. Step 6: Final answer
    x = 188.64

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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.