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Finding the Fourth Proportional to 210.84, 291.06 and 137.19

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Solution

The fourth proportional to 210.84, 291.06 and 137.19 is: 189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 291.06 = 137.19 : x
  2. Step 2: Convert to fraction form
    210.84/291.06 = 137.19/x
  3. Step 3: Cross multiply
    210.84x = 291.06 × 137.19
  4. Step 4: Simplify right side
    210.84x = 39,930.52
  5. Step 5: Solve for x
    x = 39,930.52/210.84
  6. Step 6: Final answer
    x = 189.39

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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.