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Finding the Fourth Proportional to 280.56, 420.84 and 172.98

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Solution

The fourth proportional to 280.56, 420.84 and 172.98 is: 259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 420.84 = 172.98 : x
  2. Step 2: Convert to fraction form
    280.56/420.84 = 172.98/x
  3. Step 3: Cross multiply
    280.56x = 420.84 × 172.98
  4. Step 4: Simplify right side
    280.56x = 72,796.90
  5. Step 5: Solve for x
    x = 72,796.90/280.56
  6. Step 6: Final answer
    x = 259.47

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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.