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Finding the Fourth Proportional to 665.83, 999.20 and 232.99

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Solution

The fourth proportional to 665.83, 999.20 and 232.99 is: 349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.83 : 999.20 = 232.99 : x
  2. Step 2: Convert to fraction form
    665.83/999.20 = 232.99/x
  3. Step 3: Cross multiply
    665.83x = 999.20 × 232.99
  4. Step 4: Simplify right side
    665.83x = 232,798.61
  5. Step 5: Solve for x
    x = 232,798.61/665.83
  6. Step 6: Final answer
    x = 349.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.