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Finding the Fourth Proportional to 281.18, 420.89 and 188.45

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Solution

The fourth proportional to 281.18, 420.89 and 188.45 is: 282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.18 : 420.89 = 188.45 : x
  2. Step 2: Convert to fraction form
    281.18/420.89 = 188.45/x
  3. Step 3: Cross multiply
    281.18x = 420.89 × 188.45
  4. Step 4: Simplify right side
    281.18x = 79,316.72
  5. Step 5: Solve for x
    x = 79,316.72/281.18
  6. Step 6: Final answer
    x = 282.09

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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.