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Finding the Fourth Proportional to 312.37, 465.92 and 266.20

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Solution

The fourth proportional to 312.37, 465.92 and 266.20 is: 397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.37 : 465.92 = 266.20 : x
  2. Step 2: Convert to fraction form
    312.37/465.92 = 266.20/x
  3. Step 3: Cross multiply
    312.37x = 465.92 × 266.20
  4. Step 4: Simplify right side
    312.37x = 124,027.90
  5. Step 5: Solve for x
    x = 124,027.90/312.37
  6. Step 6: Final answer
    x = 397.05

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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.