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Finding the Fourth Proportional to 284.42, 423.72 and 270.66

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Solution

The fourth proportional to 284.42, 423.72 and 270.66 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.42 : 423.72 = 270.66 : x
  2. Step 2: Convert to fraction form
    284.42/423.72 = 270.66/x
  3. Step 3: Cross multiply
    284.42x = 423.72 × 270.66
  4. Step 4: Simplify right side
    284.42x = 114,684.06
  5. Step 5: Solve for x
    x = 114,684.06/284.42
  6. Step 6: Final answer
    x = 403.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.