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Finding the Fourth Proportional to 280.30, 419.64 and 188.56

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Solution

The fourth proportional to 280.30, 419.64 and 188.56 is: 282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.30 : 419.64 = 188.56 : x
  2. Step 2: Convert to fraction form
    280.30/419.64 = 188.56/x
  3. Step 3: Cross multiply
    280.30x = 419.64 × 188.56
  4. Step 4: Simplify right side
    280.30x = 79,127.32
  5. Step 5: Solve for x
    x = 79,127.32/280.30
  6. Step 6: Final answer
    x = 282.30

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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.