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Finding the Fourth Proportional to 429.59, 592.82 and 233.10

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Solution

The fourth proportional to 429.59, 592.82 and 233.10 is: 321.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.59 : 592.82 = 233.10 : x
  2. Step 2: Convert to fraction form
    429.59/592.82 = 233.10/x
  3. Step 3: Cross multiply
    429.59x = 592.82 × 233.10
  4. Step 4: Simplify right side
    429.59x = 138,186.92
  5. Step 5: Solve for x
    x = 138,186.92/429.59
  6. Step 6: Final answer
    x = 321.67

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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.