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Finding the Fourth Proportional to 284.14, 424.01 and 253.46

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Solution

The fourth proportional to 284.14, 424.01 and 253.46 is: 378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.14 : 424.01 = 253.46 : x
  2. Step 2: Convert to fraction form
    284.14/424.01 = 253.46/x
  3. Step 3: Cross multiply
    284.14x = 424.01 × 253.46
  4. Step 4: Simplify right side
    284.14x = 107,466.19
  5. Step 5: Solve for x
    x = 107,466.19/284.14
  6. Step 6: Final answer
    x = 378.22

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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.