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Finding the Fourth Proportional to 423.16, 637.28 and 369.72

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Solution

The fourth proportional to 423.16, 637.28 and 369.72 is: 556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 637.28 = 369.72 : x
  2. Step 2: Convert to fraction form
    423.16/637.28 = 369.72/x
  3. Step 3: Cross multiply
    423.16x = 637.28 × 369.72
  4. Step 4: Simplify right side
    423.16x = 235,615.16
  5. Step 5: Solve for x
    x = 235,615.16/423.16
  6. Step 6: Final answer
    x = 556.80

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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.