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Finding the Fourth Proportional to 212.60, 320.10 and 187.09

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Solution

The fourth proportional to 212.60, 320.10 and 187.09 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 320.10 = 187.09 : x
  2. Step 2: Convert to fraction form
    212.60/320.10 = 187.09/x
  3. Step 3: Cross multiply
    212.60x = 320.10 × 187.09
  4. Step 4: Simplify right side
    212.60x = 59,886.01
  5. Step 5: Solve for x
    x = 59,886.01/212.60
  6. Step 6: Final answer
    x = 281.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.