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Finding the Fourth Proportional to 333.60, 498.27 and 285

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Solution

The fourth proportional to 333.60, 498.27 and 285 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.60 : 498.27 = 285 : x
  2. Step 2: Convert to fraction form
    333.60/498.27 = 285/x
  3. Step 3: Cross multiply
    333.60x = 498.27 × 285
  4. Step 4: Simplify right side
    333.60x = 142,006.95
  5. Step 5: Solve for x
    x = 142,006.95/333.60
  6. Step 6: Final answer
    x = 425.68

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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.