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Finding the Fourth Proportional to 325.83, 487.58 and 283.00

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Solution

The fourth proportional to 325.83, 487.58 and 283.00 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.83 : 487.58 = 283.00 : x
  2. Step 2: Convert to fraction form
    325.83/487.58 = 283.00/x
  3. Step 3: Cross multiply
    325.83x = 487.58 × 283.00
  4. Step 4: Simplify right side
    325.83x = 137,982.51
  5. Step 5: Solve for x
    x = 137,982.51/325.83
  6. Step 6: Final answer
    x = 423.48

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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.