Home / 280.14-420.24-143.10

Finding the Fourth Proportional to 280.14, 420.24 and 143.10

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Solution

The fourth proportional to 280.14, 420.24 and 143.10 is: 214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 420.24 = 143.10 : x
  2. Step 2: Convert to fraction form
    280.14/420.24 = 143.10/x
  3. Step 3: Cross multiply
    280.14x = 420.24 × 143.10
  4. Step 4: Simplify right side
    280.14x = 60,136.34
  5. Step 5: Solve for x
    x = 60,136.34/280.14
  6. Step 6: Final answer
    x = 214.67

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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.