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Finding the Fourth Proportional to 401.59, 553.58 and 314.11

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Solution

The fourth proportional to 401.59, 553.58 and 314.11 is: 432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.59 : 553.58 = 314.11 : x
  2. Step 2: Convert to fraction form
    401.59/553.58 = 314.11/x
  3. Step 3: Cross multiply
    401.59x = 553.58 × 314.11
  4. Step 4: Simplify right side
    401.59x = 173,883.03
  5. Step 5: Solve for x
    x = 173,883.03/401.59
  6. Step 6: Final answer
    x = 432.99

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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.