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Finding the Fourth Proportional to 429.99, 593.38 and 233.50

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Solution

The fourth proportional to 429.99, 593.38 and 233.50 is: 322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.99 : 593.38 = 233.50 : x
  2. Step 2: Convert to fraction form
    429.99/593.38 = 233.50/x
  3. Step 3: Cross multiply
    429.99x = 593.38 × 233.50
  4. Step 4: Simplify right side
    429.99x = 138,554.23
  5. Step 5: Solve for x
    x = 138,554.23/429.99
  6. Step 6: Final answer
    x = 322.23

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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.