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Finding the Fourth Proportional to 473.03, 709.14 and 280.25

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Solution

The fourth proportional to 473.03, 709.14 and 280.25 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.03 : 709.14 = 280.25 : x
  2. Step 2: Convert to fraction form
    473.03/709.14 = 280.25/x
  3. Step 3: Cross multiply
    473.03x = 709.14 × 280.25
  4. Step 4: Simplify right side
    473.03x = 198,736.49
  5. Step 5: Solve for x
    x = 198,736.49/473.03
  6. Step 6: Final answer
    x = 420.14

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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.