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Finding the Fourth Proportional to 284.09, 424.80 and 202.68

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Solution

The fourth proportional to 284.09, 424.80 and 202.68 is: 303.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.09 : 424.80 = 202.68 : x
  2. Step 2: Convert to fraction form
    284.09/424.80 = 202.68/x
  3. Step 3: Cross multiply
    284.09x = 424.80 × 202.68
  4. Step 4: Simplify right side
    284.09x = 86,098.46
  5. Step 5: Solve for x
    x = 86,098.46/284.09
  6. Step 6: Final answer
    x = 303.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.