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Finding the Fourth Proportional to 210.61, 290.61 and 117.34

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Solution

The fourth proportional to 210.61, 290.61 and 117.34 is: 161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.61 : 290.61 = 117.34 : x
  2. Step 2: Convert to fraction form
    210.61/290.61 = 117.34/x
  3. Step 3: Cross multiply
    210.61x = 290.61 × 117.34
  4. Step 4: Simplify right side
    210.61x = 34,100.18
  5. Step 5: Solve for x
    x = 34,100.18/210.61
  6. Step 6: Final answer
    x = 161.91

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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.