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Finding the Fourth Proportional to 312.50, 465.69 and 303.11

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Solution

The fourth proportional to 312.50, 465.69 and 303.11 is: 451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 465.69 = 303.11 : x
  2. Step 2: Convert to fraction form
    312.50/465.69 = 303.11/x
  3. Step 3: Cross multiply
    312.50x = 465.69 × 303.11
  4. Step 4: Simplify right side
    312.50x = 141,152.97
  5. Step 5: Solve for x
    x = 141,152.97/312.50
  6. Step 6: Final answer
    x = 451.70

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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.