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Finding the Fourth Proportional to 309.75, 465.18 and 302.46

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Solution

The fourth proportional to 309.75, 465.18 and 302.46 is: 454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.75 : 465.18 = 302.46 : x
  2. Step 2: Convert to fraction form
    309.75/465.18 = 302.46/x
  3. Step 3: Cross multiply
    309.75x = 465.18 × 302.46
  4. Step 4: Simplify right side
    309.75x = 140,698.34
  5. Step 5: Solve for x
    x = 140,698.34/309.75
  6. Step 6: Final answer
    x = 454.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.