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Finding the Fourth Proportional to 440.02, 659.83 and 257.47

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Solution

The fourth proportional to 440.02, 659.83 and 257.47 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.02 : 659.83 = 257.47 : x
  2. Step 2: Convert to fraction form
    440.02/659.83 = 257.47/x
  3. Step 3: Cross multiply
    440.02x = 659.83 × 257.47
  4. Step 4: Simplify right side
    440.02x = 169,885.14
  5. Step 5: Solve for x
    x = 169,885.14/440.02
  6. Step 6: Final answer
    x = 386.09

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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.