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Finding the Fourth Proportional to 281.81, 423.00 and 151.80

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Solution

The fourth proportional to 281.81, 423.00 and 151.80 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.81 : 423.00 = 151.80 : x
  2. Step 2: Convert to fraction form
    281.81/423.00 = 151.80/x
  3. Step 3: Cross multiply
    281.81x = 423.00 × 151.80
  4. Step 4: Simplify right side
    281.81x = 64,210.64
  5. Step 5: Solve for x
    x = 64,210.64/281.81
  6. Step 6: Final answer
    x = 227.85

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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.