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Finding the Fourth Proportional to 399.48, 550.50 and 312.36

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Solution

The fourth proportional to 399.48, 550.50 and 312.36 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.48 : 550.50 = 312.36 : x
  2. Step 2: Convert to fraction form
    399.48/550.50 = 312.36/x
  3. Step 3: Cross multiply
    399.48x = 550.50 × 312.36
  4. Step 4: Simplify right side
    399.48x = 171,954.18
  5. Step 5: Solve for x
    x = 171,954.18/399.48
  6. Step 6: Final answer
    x = 430.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.