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Finding the Fourth Proportional to 438.15, 603.87 and 333

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Solution

The fourth proportional to 438.15, 603.87 and 333 is: 458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.15 : 603.87 = 333 : x
  2. Step 2: Convert to fraction form
    438.15/603.87 = 333/x
  3. Step 3: Cross multiply
    438.15x = 603.87 × 333
  4. Step 4: Simplify right side
    438.15x = 201,088.71
  5. Step 5: Solve for x
    x = 201,088.71/438.15
  6. Step 6: Final answer
    x = 458.95

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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.