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Finding the Fourth Proportional to 469.78, 648.29 and 295.09

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Solution

The fourth proportional to 469.78, 648.29 and 295.09 is: 407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.78 : 648.29 = 295.09 : x
  2. Step 2: Convert to fraction form
    469.78/648.29 = 295.09/x
  3. Step 3: Cross multiply
    469.78x = 648.29 × 295.09
  4. Step 4: Simplify right side
    469.78x = 191,299.18
  5. Step 5: Solve for x
    x = 191,299.18/469.78
  6. Step 6: Final answer
    x = 407.21

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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.