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Finding the Fourth Proportional to 284.01, 423.82 and 253.33

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Solution

The fourth proportional to 284.01, 423.82 and 253.33 is: 378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.01 : 423.82 = 253.33 : x
  2. Step 2: Convert to fraction form
    284.01/423.82 = 253.33/x
  3. Step 3: Cross multiply
    284.01x = 423.82 × 253.33
  4. Step 4: Simplify right side
    284.01x = 107,366.32
  5. Step 5: Solve for x
    x = 107,366.32/284.01
  6. Step 6: Final answer
    x = 378.04

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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.