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Finding the Fourth Proportional to 401.71, 553.75 and 314.23

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Solution

The fourth proportional to 401.71, 553.75 and 314.23 is: 433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.71 : 553.75 = 314.23 : x
  2. Step 2: Convert to fraction form
    401.71/553.75 = 314.23/x
  3. Step 3: Cross multiply
    401.71x = 553.75 × 314.23
  4. Step 4: Simplify right side
    401.71x = 174,004.86
  5. Step 5: Solve for x
    x = 174,004.86/401.71
  6. Step 6: Final answer
    x = 433.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.