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Finding the Fourth Proportional to 283.29, 423.00 and 253.82

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Solution

The fourth proportional to 283.29, 423.00 and 253.82 is: 378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.29 : 423.00 = 253.82 : x
  2. Step 2: Convert to fraction form
    283.29/423.00 = 253.82/x
  3. Step 3: Cross multiply
    283.29x = 423.00 × 253.82
  4. Step 4: Simplify right side
    283.29x = 107,363.47
  5. Step 5: Solve for x
    x = 107,363.47/283.29
  6. Step 6: Final answer
    x = 378.99

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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.