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Finding the Fourth Proportional to 284.33, 425.95 and 174.67

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Solution

The fourth proportional to 284.33, 425.95 and 174.67 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.33 : 425.95 = 174.67 : x
  2. Step 2: Convert to fraction form
    284.33/425.95 = 174.67/x
  3. Step 3: Cross multiply
    284.33x = 425.95 × 174.67
  4. Step 4: Simplify right side
    284.33x = 74,400.69
  5. Step 5: Solve for x
    x = 74,400.69/284.33
  6. Step 6: Final answer
    x = 261.67

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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.