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Finding the Fourth Proportional to 333.12, 458.64 and 321.52

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Solution

The fourth proportional to 333.12, 458.64 and 321.52 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.12 : 458.64 = 321.52 : x
  2. Step 2: Convert to fraction form
    333.12/458.64 = 321.52/x
  3. Step 3: Cross multiply
    333.12x = 458.64 × 321.52
  4. Step 4: Simplify right side
    333.12x = 147,461.93
  5. Step 5: Solve for x
    x = 147,461.93/333.12
  6. Step 6: Final answer
    x = 442.67

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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.