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Finding the Fourth Proportional to 281.20, 420.05 and 216.16

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Solution

The fourth proportional to 281.20, 420.05 and 216.16 is: 322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.20 : 420.05 = 216.16 : x
  2. Step 2: Convert to fraction form
    281.20/420.05 = 216.16/x
  3. Step 3: Cross multiply
    281.20x = 420.05 × 216.16
  4. Step 4: Simplify right side
    281.20x = 90,798.01
  5. Step 5: Solve for x
    x = 90,798.01/281.20
  6. Step 6: Final answer
    x = 322.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.