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Finding the Fourth Proportional to 319.13, 439.93 and 253.66

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Solution

The fourth proportional to 319.13, 439.93 and 253.66 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 439.93 = 253.66 : x
  2. Step 2: Convert to fraction form
    319.13/439.93 = 253.66/x
  3. Step 3: Cross multiply
    319.13x = 439.93 × 253.66
  4. Step 4: Simplify right side
    319.13x = 111,592.64
  5. Step 5: Solve for x
    x = 111,592.64/319.13
  6. Step 6: Final answer
    x = 349.68

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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.