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Finding the Fourth Proportional to 280.20, 420.16 and 97.55

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Solution

The fourth proportional to 280.20, 420.16 and 97.55 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 420.16 = 97.55 : x
  2. Step 2: Convert to fraction form
    280.20/420.16 = 97.55/x
  3. Step 3: Cross multiply
    280.20x = 420.16 × 97.55
  4. Step 4: Simplify right side
    280.20x = 40,986.61
  5. Step 5: Solve for x
    x = 40,986.61/280.20
  6. Step 6: Final answer
    x = 146.28

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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.