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Finding the Fourth Proportional to 429.99, 593.15 and 297.20

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Solution

The fourth proportional to 429.99, 593.15 and 297.20 is: 409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.99 : 593.15 = 297.20 : x
  2. Step 2: Convert to fraction form
    429.99/593.15 = 297.20/x
  3. Step 3: Cross multiply
    429.99x = 593.15 × 297.20
  4. Step 4: Simplify right side
    429.99x = 176,279.73
  5. Step 5: Solve for x
    x = 176,279.73/429.99
  6. Step 6: Final answer
    x = 409.96

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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.