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Finding the Fourth Proportional to 469.46, 648.07 and 301.46

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Solution

The fourth proportional to 469.46, 648.07 and 301.46 is: 416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.46 : 648.07 = 301.46 : x
  2. Step 2: Convert to fraction form
    469.46/648.07 = 301.46/x
  3. Step 3: Cross multiply
    469.46x = 648.07 × 301.46
  4. Step 4: Simplify right side
    469.46x = 195,363.19
  5. Step 5: Solve for x
    x = 195,363.19/469.46
  6. Step 6: Final answer
    x = 416.14

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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.