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Finding the Fourth Proportional to 440.32, 659.76 and 257.86

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Solution

The fourth proportional to 440.32, 659.76 and 257.86 is: 386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.32 : 659.76 = 257.86 : x
  2. Step 2: Convert to fraction form
    440.32/659.76 = 257.86/x
  3. Step 3: Cross multiply
    440.32x = 659.76 × 257.86
  4. Step 4: Simplify right side
    440.32x = 170,125.71
  5. Step 5: Solve for x
    x = 170,125.71/440.32
  6. Step 6: Final answer
    x = 386.37

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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.