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Finding the Fourth Proportional to 280.45, 419.59 and 152.29

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Solution

The fourth proportional to 280.45, 419.59 and 152.29 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.45 : 419.59 = 152.29 : x
  2. Step 2: Convert to fraction form
    280.45/419.59 = 152.29/x
  3. Step 3: Cross multiply
    280.45x = 419.59 × 152.29
  4. Step 4: Simplify right side
    280.45x = 63,899.36
  5. Step 5: Solve for x
    x = 63,899.36/280.45
  6. Step 6: Final answer
    x = 227.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.