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Finding the Fourth Proportional to 364.50, 547.74 and 284.28

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Solution

The fourth proportional to 364.50, 547.74 and 284.28 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.50 : 547.74 = 284.28 : x
  2. Step 2: Convert to fraction form
    364.50/547.74 = 284.28/x
  3. Step 3: Cross multiply
    364.50x = 547.74 × 284.28
  4. Step 4: Simplify right side
    364.50x = 155,711.53
  5. Step 5: Solve for x
    x = 155,711.53/364.50
  6. Step 6: Final answer
    x = 427.19

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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.