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Finding the Fourth Proportional to 323.64, 482.40 and 314.52

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Solution

The fourth proportional to 323.64, 482.40 and 314.52 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.64 : 482.40 = 314.52 : x
  2. Step 2: Convert to fraction form
    323.64/482.40 = 314.52/x
  3. Step 3: Cross multiply
    323.64x = 482.40 × 314.52
  4. Step 4: Simplify right side
    323.64x = 151,724.45
  5. Step 5: Solve for x
    x = 151,724.45/323.64
  6. Step 6: Final answer
    x = 468.81

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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.