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Finding the Fourth Proportional to 401.14, 553.25 and 283.51

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Solution

The fourth proportional to 401.14, 553.25 and 283.51 is: 391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.14 : 553.25 = 283.51 : x
  2. Step 2: Convert to fraction form
    401.14/553.25 = 283.51/x
  3. Step 3: Cross multiply
    401.14x = 553.25 × 283.51
  4. Step 4: Simplify right side
    401.14x = 156,851.91
  5. Step 5: Solve for x
    x = 156,851.91/401.14
  6. Step 6: Final answer
    x = 391.02

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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.