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Finding the Fourth Proportional to 319.66, 440.47 and 257.24

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Solution

The fourth proportional to 319.66, 440.47 and 257.24 is: 354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.66 : 440.47 = 257.24 : x
  2. Step 2: Convert to fraction form
    319.66/440.47 = 257.24/x
  3. Step 3: Cross multiply
    319.66x = 440.47 × 257.24
  4. Step 4: Simplify right side
    319.66x = 113,306.50
  5. Step 5: Solve for x
    x = 113,306.50/319.66
  6. Step 6: Final answer
    x = 354.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.