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Finding the Fourth Proportional to 280.60, 419.88 and 165.10

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Solution

The fourth proportional to 280.60, 419.88 and 165.10 is: 247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.60 : 419.88 = 165.10 : x
  2. Step 2: Convert to fraction form
    280.60/419.88 = 165.10/x
  3. Step 3: Cross multiply
    280.60x = 419.88 × 165.10
  4. Step 4: Simplify right side
    280.60x = 69,322.40
  5. Step 5: Solve for x
    x = 69,322.40/280.60
  6. Step 6: Final answer
    x = 247.05

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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.