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Finding the Fourth Proportional to 280.81, 420.56 and 165.02

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Solution

The fourth proportional to 280.81, 420.56 and 165.02 is: 247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.81 : 420.56 = 165.02 : x
  2. Step 2: Convert to fraction form
    280.81/420.56 = 165.02/x
  3. Step 3: Cross multiply
    280.81x = 420.56 × 165.02
  4. Step 4: Simplify right side
    280.81x = 69,399.99
  5. Step 5: Solve for x
    x = 69,399.99/280.81
  6. Step 6: Final answer
    x = 247.15

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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.