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Finding the Fourth Proportional to 423.64, 635.58 and 253.72

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Solution

The fourth proportional to 423.64, 635.58 and 253.72 is: 380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 635.58 = 253.72 : x
  2. Step 2: Convert to fraction form
    423.64/635.58 = 253.72/x
  3. Step 3: Cross multiply
    423.64x = 635.58 × 253.72
  4. Step 4: Simplify right side
    423.64x = 161,259.36
  5. Step 5: Solve for x
    x = 161,259.36/423.64
  6. Step 6: Final answer
    x = 380.65

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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.