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Finding the Fourth Proportional to 281.54, 423.76 and 213.40

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Solution

The fourth proportional to 281.54, 423.76 and 213.40 is: 321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.54 : 423.76 = 213.40 : x
  2. Step 2: Convert to fraction form
    281.54/423.76 = 213.40/x
  3. Step 3: Cross multiply
    281.54x = 423.76 × 213.40
  4. Step 4: Simplify right side
    281.54x = 90,430.38
  5. Step 5: Solve for x
    x = 90,430.38/281.54
  6. Step 6: Final answer
    x = 321.20

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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.