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Finding the Fourth Proportional to 469.88, 648.47 and 295.19

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Solution

The fourth proportional to 469.88, 648.47 and 295.19 is: 407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.88 : 648.47 = 295.19 : x
  2. Step 2: Convert to fraction form
    469.88/648.47 = 295.19/x
  3. Step 3: Cross multiply
    469.88x = 648.47 × 295.19
  4. Step 4: Simplify right side
    469.88x = 191,419.35
  5. Step 5: Solve for x
    x = 191,419.35/469.88
  6. Step 6: Final answer
    x = 407.38

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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.