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Finding the Fourth Proportional to 417.68, 576.02 and 284.84

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Solution

The fourth proportional to 417.68, 576.02 and 284.84 is: 392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.68 : 576.02 = 284.84 : x
  2. Step 2: Convert to fraction form
    417.68/576.02 = 284.84/x
  3. Step 3: Cross multiply
    417.68x = 576.02 × 284.84
  4. Step 4: Simplify right side
    417.68x = 164,069.23
  5. Step 5: Solve for x
    x = 164,069.23/417.68
  6. Step 6: Final answer
    x = 392.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.