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Finding the Fourth Proportional to 281.02, 420.78 and 189.52

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Solution

The fourth proportional to 281.02, 420.78 and 189.52 is: 283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.02 : 420.78 = 189.52 : x
  2. Step 2: Convert to fraction form
    281.02/420.78 = 189.52/x
  3. Step 3: Cross multiply
    281.02x = 420.78 × 189.52
  4. Step 4: Simplify right side
    281.02x = 79,746.23
  5. Step 5: Solve for x
    x = 79,746.23/281.02
  6. Step 6: Final answer
    x = 283.77

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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.