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Finding the Fourth Proportional to 210.60, 291.06 and 161.46

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Solution

The fourth proportional to 210.60, 291.06 and 161.46 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.60 : 291.06 = 161.46 : x
  2. Step 2: Convert to fraction form
    210.60/291.06 = 161.46/x
  3. Step 3: Cross multiply
    210.60x = 291.06 × 161.46
  4. Step 4: Simplify right side
    210.60x = 46,994.55
  5. Step 5: Solve for x
    x = 46,994.55/210.60
  6. Step 6: Final answer
    x = 223.15

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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.