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Finding the Fourth Proportional to 284.31, 424.28 and 253.55

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Solution

The fourth proportional to 284.31, 424.28 and 253.55 is: 378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.31 : 424.28 = 253.55 : x
  2. Step 2: Convert to fraction form
    284.31/424.28 = 253.55/x
  3. Step 3: Cross multiply
    284.31x = 424.28 × 253.55
  4. Step 4: Simplify right side
    284.31x = 107,576.19
  5. Step 5: Solve for x
    x = 107,576.19/284.31
  6. Step 6: Final answer
    x = 378.38

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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.