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Finding the Fourth Proportional to 440.98, 661.02 and 257.82

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Solution

The fourth proportional to 440.98, 661.02 and 257.82 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.98 : 661.02 = 257.82 : x
  2. Step 2: Convert to fraction form
    440.98/661.02 = 257.82/x
  3. Step 3: Cross multiply
    440.98x = 661.02 × 257.82
  4. Step 4: Simplify right side
    440.98x = 170,422.89
  5. Step 5: Solve for x
    x = 170,422.89/440.98
  6. Step 6: Final answer
    x = 386.46

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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.