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Finding the Fourth Proportional to 417.01, 574.98 and 284.09

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Solution

The fourth proportional to 417.01, 574.98 and 284.09 is: 391.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.01 : 574.98 = 284.09 : x
  2. Step 2: Convert to fraction form
    417.01/574.98 = 284.09/x
  3. Step 3: Cross multiply
    417.01x = 574.98 × 284.09
  4. Step 4: Simplify right side
    417.01x = 163,346.07
  5. Step 5: Solve for x
    x = 163,346.07/417.01
  6. Step 6: Final answer
    x = 391.71

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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.