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Finding the Fourth Proportional to 469.76, 648.05 and 303.91

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Solution

The fourth proportional to 469.76, 648.05 and 303.91 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.76 : 648.05 = 303.91 : x
  2. Step 2: Convert to fraction form
    469.76/648.05 = 303.91/x
  3. Step 3: Cross multiply
    469.76x = 648.05 × 303.91
  4. Step 4: Simplify right side
    469.76x = 196,945.74
  5. Step 5: Solve for x
    x = 196,945.74/469.76
  6. Step 6: Final answer
    x = 419.25

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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.