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Finding the Fourth Proportional to 210.08, 290.05 and 188.21

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Solution

The fourth proportional to 210.08, 290.05 and 188.21 is: 259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.08 : 290.05 = 188.21 : x
  2. Step 2: Convert to fraction form
    210.08/290.05 = 188.21/x
  3. Step 3: Cross multiply
    210.08x = 290.05 × 188.21
  4. Step 4: Simplify right side
    210.08x = 54,590.57
  5. Step 5: Solve for x
    x = 54,590.57/210.08
  6. Step 6: Final answer
    x = 259.85

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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.