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Finding the Fourth Proportional to 423.81, 638.86 and 352.13

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Solution

The fourth proportional to 423.81, 638.86 and 352.13 is: 530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.81 : 638.86 = 352.13 : x
  2. Step 2: Convert to fraction form
    423.81/638.86 = 352.13/x
  3. Step 3: Cross multiply
    423.81x = 638.86 × 352.13
  4. Step 4: Simplify right side
    423.81x = 224,961.77
  5. Step 5: Solve for x
    x = 224,961.77/423.81
  6. Step 6: Final answer
    x = 530.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.