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Finding the Fourth Proportional to 319.66, 479.16 and 175.07

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Solution

The fourth proportional to 319.66, 479.16 and 175.07 is: 262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.66 : 479.16 = 175.07 : x
  2. Step 2: Convert to fraction form
    319.66/479.16 = 175.07/x
  3. Step 3: Cross multiply
    319.66x = 479.16 × 175.07
  4. Step 4: Simplify right side
    319.66x = 83,886.54
  5. Step 5: Solve for x
    x = 83,886.54/319.66
  6. Step 6: Final answer
    x = 262.42

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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.