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Finding the Fourth Proportional to 284.84, 425.17 and 216.04

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Solution

The fourth proportional to 284.84, 425.17 and 216.04 is: 322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.84 : 425.17 = 216.04 : x
  2. Step 2: Convert to fraction form
    284.84/425.17 = 216.04/x
  3. Step 3: Cross multiply
    284.84x = 425.17 × 216.04
  4. Step 4: Simplify right side
    284.84x = 91,855.53
  5. Step 5: Solve for x
    x = 91,855.53/284.84
  6. Step 6: Final answer
    x = 322.48

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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.