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Finding the Fourth Proportional to 284.59, 424.65 and 239.03

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Solution

The fourth proportional to 284.59, 424.65 and 239.03 is: 356.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.59 : 424.65 = 239.03 : x
  2. Step 2: Convert to fraction form
    284.59/424.65 = 239.03/x
  3. Step 3: Cross multiply
    284.59x = 424.65 × 239.03
  4. Step 4: Simplify right side
    284.59x = 101,504.09
  5. Step 5: Solve for x
    x = 101,504.09/284.59
  6. Step 6: Final answer
    x = 356.67

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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.