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Finding the Fourth Proportional to 210.65, 290.66 and 117.38

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Solution

The fourth proportional to 210.65, 290.66 and 117.38 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.65 : 290.66 = 117.38 : x
  2. Step 2: Convert to fraction form
    210.65/290.66 = 117.38/x
  3. Step 3: Cross multiply
    210.65x = 290.66 × 117.38
  4. Step 4: Simplify right side
    210.65x = 34,117.67
  5. Step 5: Solve for x
    x = 34,117.67/210.65
  6. Step 6: Final answer
    x = 161.96

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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.