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Finding the Fourth Proportional to 440.66, 660.99 and 259.32

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Solution

The fourth proportional to 440.66, 660.99 and 259.32 is: 388.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.66 : 660.99 = 259.32 : x
  2. Step 2: Convert to fraction form
    440.66/660.99 = 259.32/x
  3. Step 3: Cross multiply
    440.66x = 660.99 × 259.32
  4. Step 4: Simplify right side
    440.66x = 171,407.93
  5. Step 5: Solve for x
    x = 171,407.93/440.66
  6. Step 6: Final answer
    x = 388.98

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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.