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Finding the Fourth Proportional to 327.51, 488.63 and 312.03

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Solution

The fourth proportional to 327.51, 488.63 and 312.03 is: 465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.51 : 488.63 = 312.03 : x
  2. Step 2: Convert to fraction form
    327.51/488.63 = 312.03/x
  3. Step 3: Cross multiply
    327.51x = 488.63 × 312.03
  4. Step 4: Simplify right side
    327.51x = 152,468.00
  5. Step 5: Solve for x
    x = 152,468.00/327.51
  6. Step 6: Final answer
    x = 465.54

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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.