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Finding the Fourth Proportional to 438.49, 658.83 and 284.50

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Solution

The fourth proportional to 438.49, 658.83 and 284.50 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.49 : 658.83 = 284.50 : x
  2. Step 2: Convert to fraction form
    438.49/658.83 = 284.50/x
  3. Step 3: Cross multiply
    438.49x = 658.83 × 284.50
  4. Step 4: Simplify right side
    438.49x = 187,437.14
  5. Step 5: Solve for x
    x = 187,437.14/438.49
  6. Step 6: Final answer
    x = 427.46

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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.