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Finding the Fourth Proportional to 469.70, 648.27 and 280.67

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Solution

The fourth proportional to 469.70, 648.27 and 280.67 is: 387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.70 : 648.27 = 280.67 : x
  2. Step 2: Convert to fraction form
    469.70/648.27 = 280.67/x
  3. Step 3: Cross multiply
    469.70x = 648.27 × 280.67
  4. Step 4: Simplify right side
    469.70x = 181,950.51
  5. Step 5: Solve for x
    x = 181,950.51/469.70
  6. Step 6: Final answer
    x = 387.37

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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.