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Finding the Fourth Proportional to 417.42, 575.82 and 277.38

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Solution

The fourth proportional to 417.42, 575.82 and 277.38 is: 382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 575.82 = 277.38 : x
  2. Step 2: Convert to fraction form
    417.42/575.82 = 277.38/x
  3. Step 3: Cross multiply
    417.42x = 575.82 × 277.38
  4. Step 4: Simplify right side
    417.42x = 159,720.95
  5. Step 5: Solve for x
    x = 159,720.95/417.42
  6. Step 6: Final answer
    x = 382.64

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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.