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Finding the Fourth Proportional to 281.80, 420.55 and 263.23

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Solution

The fourth proportional to 281.80, 420.55 and 263.23 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 420.55 = 263.23 : x
  2. Step 2: Convert to fraction form
    281.80/420.55 = 263.23/x
  3. Step 3: Cross multiply
    281.80x = 420.55 × 263.23
  4. Step 4: Simplify right side
    281.80x = 110,701.38
  5. Step 5: Solve for x
    x = 110,701.38/281.80
  6. Step 6: Final answer
    x = 392.84

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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.