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Finding the Fourth Proportional to 333.84, 459.12 and 305.52

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Solution

The fourth proportional to 333.84, 459.12 and 305.52 is: 420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 459.12 = 305.52 : x
  2. Step 2: Convert to fraction form
    333.84/459.12 = 305.52/x
  3. Step 3: Cross multiply
    333.84x = 459.12 × 305.52
  4. Step 4: Simplify right side
    333.84x = 140,270.34
  5. Step 5: Solve for x
    x = 140,270.34/333.84
  6. Step 6: Final answer
    x = 420.17

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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.