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Finding the Fourth Proportional to 423.73, 583.76 and 299.14

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Solution

The fourth proportional to 423.73, 583.76 and 299.14 is: 412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.73 : 583.76 = 299.14 : x
  2. Step 2: Convert to fraction form
    423.73/583.76 = 299.14/x
  3. Step 3: Cross multiply
    423.73x = 583.76 × 299.14
  4. Step 4: Simplify right side
    423.73x = 174,626.86
  5. Step 5: Solve for x
    x = 174,626.86/423.73
  6. Step 6: Final answer
    x = 412.12

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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.