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Finding the Fourth Proportional to 319.68, 479.24 and 114.16

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Solution

The fourth proportional to 319.68, 479.24 and 114.16 is: 171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 479.24 = 114.16 : x
  2. Step 2: Convert to fraction form
    319.68/479.24 = 114.16/x
  3. Step 3: Cross multiply
    319.68x = 479.24 × 114.16
  4. Step 4: Simplify right side
    319.68x = 54,710.04
  5. Step 5: Solve for x
    x = 54,710.04/319.68
  6. Step 6: Final answer
    x = 171.14

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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.