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Finding the Fourth Proportional to 319.04, 476.41 and 253.31

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Solution

The fourth proportional to 319.04, 476.41 and 253.31 is: 378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.04 : 476.41 = 253.31 : x
  2. Step 2: Convert to fraction form
    319.04/476.41 = 253.31/x
  3. Step 3: Cross multiply
    319.04x = 476.41 × 253.31
  4. Step 4: Simplify right side
    319.04x = 120,676.82
  5. Step 5: Solve for x
    x = 120,676.82/319.04
  6. Step 6: Final answer
    x = 378.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.