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Finding the Fourth Proportional to 312.09, 465.09 and 302.70

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Solution

The fourth proportional to 312.09, 465.09 and 302.70 is: 451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.09 : 465.09 = 302.70 : x
  2. Step 2: Convert to fraction form
    312.09/465.09 = 302.70/x
  3. Step 3: Cross multiply
    312.09x = 465.09 × 302.70
  4. Step 4: Simplify right side
    312.09x = 140,782.74
  5. Step 5: Solve for x
    x = 140,782.74/312.09
  6. Step 6: Final answer
    x = 451.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.