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Finding the Fourth Proportional to 319.02, 477.66 and 253.71

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Solution

The fourth proportional to 319.02, 477.66 and 253.71 is: 379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.02 : 477.66 = 253.71 : x
  2. Step 2: Convert to fraction form
    319.02/477.66 = 253.71/x
  3. Step 3: Cross multiply
    319.02x = 477.66 × 253.71
  4. Step 4: Simplify right side
    319.02x = 121,188.07
  5. Step 5: Solve for x
    x = 121,188.07/319.02
  6. Step 6: Final answer
    x = 379.88

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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.