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Finding the Fourth Proportional to 401.13, 553.80 and 281.67

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Solution

The fourth proportional to 401.13, 553.80 and 281.67 is: 388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.13 : 553.80 = 281.67 : x
  2. Step 2: Convert to fraction form
    401.13/553.80 = 281.67/x
  3. Step 3: Cross multiply
    401.13x = 553.80 × 281.67
  4. Step 4: Simplify right side
    401.13x = 155,988.85
  5. Step 5: Solve for x
    x = 155,988.85/401.13
  6. Step 6: Final answer
    x = 388.87

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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.