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Finding the Fourth Proportional to 210.84, 290.87 and 137.13

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Solution

The fourth proportional to 210.84, 290.87 and 137.13 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.84 : 290.87 = 137.13 : x
  2. Step 2: Convert to fraction form
    210.84/290.87 = 137.13/x
  3. Step 3: Cross multiply
    210.84x = 290.87 × 137.13
  4. Step 4: Simplify right side
    210.84x = 39,886.32
  5. Step 5: Solve for x
    x = 39,886.32/210.84
  6. Step 6: Final answer
    x = 189.18

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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.