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Finding the Fourth Proportional to 465.04, 641.64 and 309.76

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Solution

The fourth proportional to 465.04, 641.64 and 309.76 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.04 : 641.64 = 309.76 : x
  2. Step 2: Convert to fraction form
    465.04/641.64 = 309.76/x
  3. Step 3: Cross multiply
    465.04x = 641.64 × 309.76
  4. Step 4: Simplify right side
    465.04x = 198,754.41
  5. Step 5: Solve for x
    x = 198,754.41/465.04
  6. Step 6: Final answer
    x = 427.39

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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.