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Finding the Fourth Proportional to 333.48, 458.16 and 319.20

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Solution

The fourth proportional to 333.48, 458.16 and 319.20 is: 438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.48 : 458.16 = 319.20 : x
  2. Step 2: Convert to fraction form
    333.48/458.16 = 319.20/x
  3. Step 3: Cross multiply
    333.48x = 458.16 × 319.20
  4. Step 4: Simplify right side
    333.48x = 146,244.67
  5. Step 5: Solve for x
    x = 146,244.67/333.48
  6. Step 6: Final answer
    x = 438.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.