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Finding the Fourth Proportional to 319.93, 477.14 and 314.17

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Solution

The fourth proportional to 319.93, 477.14 and 314.17 is: 468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.93 : 477.14 = 314.17 : x
  2. Step 2: Convert to fraction form
    319.93/477.14 = 314.17/x
  3. Step 3: Cross multiply
    319.93x = 477.14 × 314.17
  4. Step 4: Simplify right side
    319.93x = 149,903.07
  5. Step 5: Solve for x
    x = 149,903.07/319.93
  6. Step 6: Final answer
    x = 468.55

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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.