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Finding the Fourth Proportional to 284.45, 423.02 and 275.34

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Solution

The fourth proportional to 284.45, 423.02 and 275.34 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.45 : 423.02 = 275.34 : x
  2. Step 2: Convert to fraction form
    284.45/423.02 = 275.34/x
  3. Step 3: Cross multiply
    284.45x = 423.02 × 275.34
  4. Step 4: Simplify right side
    284.45x = 116,475.02
  5. Step 5: Solve for x
    x = 116,475.02/284.45
  6. Step 6: Final answer
    x = 409.47

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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.