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Finding the Fourth Proportional to 211.68, 291.60 and 172.53

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Solution

The fourth proportional to 211.68, 291.60 and 172.53 is: 237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.68 : 291.60 = 172.53 : x
  2. Step 2: Convert to fraction form
    211.68/291.60 = 172.53/x
  3. Step 3: Cross multiply
    211.68x = 291.60 × 172.53
  4. Step 4: Simplify right side
    211.68x = 50,309.75
  5. Step 5: Solve for x
    x = 50,309.75/211.68
  6. Step 6: Final answer
    x = 237.67

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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.