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Finding the Fourth Proportional to 318.66, 440.40 and 253.04

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Solution

The fourth proportional to 318.66, 440.40 and 253.04 is: 349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.66 : 440.40 = 253.04 : x
  2. Step 2: Convert to fraction form
    318.66/440.40 = 253.04/x
  3. Step 3: Cross multiply
    318.66x = 440.40 × 253.04
  4. Step 4: Simplify right side
    318.66x = 111,438.82
  5. Step 5: Solve for x
    x = 111,438.82/318.66
  6. Step 6: Final answer
    x = 349.71

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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.