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Finding the Fourth Proportional to 312.48, 467.55 and 266.94

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Solution

The fourth proportional to 312.48, 467.55 and 266.94 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.48 : 467.55 = 266.94 : x
  2. Step 2: Convert to fraction form
    312.48/467.55 = 266.94/x
  3. Step 3: Cross multiply
    312.48x = 467.55 × 266.94
  4. Step 4: Simplify right side
    312.48x = 124,807.80
  5. Step 5: Solve for x
    x = 124,807.80/312.48
  6. Step 6: Final answer
    x = 399.41

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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.