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Finding the Fourth Proportional to 281.02, 421.12 and 260.77

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Solution

The fourth proportional to 281.02, 421.12 and 260.77 is: 390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.02 : 421.12 = 260.77 : x
  2. Step 2: Convert to fraction form
    281.02/421.12 = 260.77/x
  3. Step 3: Cross multiply
    281.02x = 421.12 × 260.77
  4. Step 4: Simplify right side
    281.02x = 109,815.46
  5. Step 5: Solve for x
    x = 109,815.46/281.02
  6. Step 6: Final answer
    x = 390.77

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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.