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Finding the Fourth Proportional to 213.51, 320.21 and 76.53

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Solution

The fourth proportional to 213.51, 320.21 and 76.53 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.51 : 320.21 = 76.53 : x
  2. Step 2: Convert to fraction form
    213.51/320.21 = 76.53/x
  3. Step 3: Cross multiply
    213.51x = 320.21 × 76.53
  4. Step 4: Simplify right side
    213.51x = 24,506.78
  5. Step 5: Solve for x
    x = 24,506.78/213.51
  6. Step 6: Final answer
    x = 114.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.