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Finding the Fourth Proportional to 280.35, 386.35 and 210.23

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Solution

The fourth proportional to 280.35, 386.35 and 210.23 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.35 : 386.35 = 210.23 : x
  2. Step 2: Convert to fraction form
    280.35/386.35 = 210.23/x
  3. Step 3: Cross multiply
    280.35x = 386.35 × 210.23
  4. Step 4: Simplify right side
    280.35x = 81,221.35
  5. Step 5: Solve for x
    x = 81,221.35/280.35
  6. Step 6: Final answer
    x = 289.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.