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Finding the Fourth Proportional to 217.68, 299.88 and 152.10

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Solution

The fourth proportional to 217.68, 299.88 and 152.10 is: 209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.68 : 299.88 = 152.10 : x
  2. Step 2: Convert to fraction form
    217.68/299.88 = 152.10/x
  3. Step 3: Cross multiply
    217.68x = 299.88 × 152.10
  4. Step 4: Simplify right side
    217.68x = 45,611.75
  5. Step 5: Solve for x
    x = 45,611.75/217.68
  6. Step 6: Final answer
    x = 209.54

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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.