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Finding the Fourth Proportional to 401.27, 553.16 and 313.79

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Solution

The fourth proportional to 401.27, 553.16 and 313.79 is: 432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.27 : 553.16 = 313.79 : x
  2. Step 2: Convert to fraction form
    401.27/553.16 = 313.79/x
  3. Step 3: Cross multiply
    401.27x = 553.16 × 313.79
  4. Step 4: Simplify right side
    401.27x = 173,574.10
  5. Step 5: Solve for x
    x = 173,574.10/401.27
  6. Step 6: Final answer
    x = 432.57

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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.