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Finding the Fourth Proportional to 280.84, 421.31 and 98.22

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Solution

The fourth proportional to 280.84, 421.31 and 98.22 is: 147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.84 : 421.31 = 98.22 : x
  2. Step 2: Convert to fraction form
    280.84/421.31 = 98.22/x
  3. Step 3: Cross multiply
    280.84x = 421.31 × 98.22
  4. Step 4: Simplify right side
    280.84x = 41,381.07
  5. Step 5: Solve for x
    x = 41,381.07/280.84
  6. Step 6: Final answer
    x = 147.35

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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.