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Finding the Fourth Proportional to 312, 465.81 and 266.37

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Solution

The fourth proportional to 312, 465.81 and 266.37 is: 397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 465.81 = 266.37 : x
  2. Step 2: Convert to fraction form
    312/465.81 = 266.37/x
  3. Step 3: Cross multiply
    312x = 465.81 × 266.37
  4. Step 4: Simplify right side
    312x = 124,077.81
  5. Step 5: Solve for x
    x = 124,077.81/312
  6. Step 6: Final answer
    x = 397.69

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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.