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Finding the Fourth Proportional to 319.04, 477.84 and 253.52

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Solution

The fourth proportional to 319.04, 477.84 and 253.52 is: 379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.04 : 477.84 = 253.52 : x
  2. Step 2: Convert to fraction form
    319.04/477.84 = 253.52/x
  3. Step 3: Cross multiply
    319.04x = 477.84 × 253.52
  4. Step 4: Simplify right side
    319.04x = 121,142.00
  5. Step 5: Solve for x
    x = 121,142.00/319.04
  6. Step 6: Final answer
    x = 379.71

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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.