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Finding the Fourth Proportional to 529.90, 731.15 and 333.34

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Solution

The fourth proportional to 529.90, 731.15 and 333.34 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.90 : 731.15 = 333.34 : x
  2. Step 2: Convert to fraction form
    529.90/731.15 = 333.34/x
  3. Step 3: Cross multiply
    529.90x = 731.15 × 333.34
  4. Step 4: Simplify right side
    529.90x = 243,719.87
  5. Step 5: Solve for x
    x = 243,719.87/529.90
  6. Step 6: Final answer
    x = 459.94

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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.