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Finding the Fourth Proportional to 423.45, 633.49 and 357.71

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Solution

The fourth proportional to 423.45, 633.49 and 357.71 is: 535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.45 : 633.49 = 357.71 : x
  2. Step 2: Convert to fraction form
    423.45/633.49 = 357.71/x
  3. Step 3: Cross multiply
    423.45x = 633.49 × 357.71
  4. Step 4: Simplify right side
    423.45x = 226,605.71
  5. Step 5: Solve for x
    x = 226,605.71/423.45
  6. Step 6: Final answer
    x = 535.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.