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Finding the Fourth Proportional to 417.61, 575.67 and 277.48

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Solution

The fourth proportional to 417.61, 575.67 and 277.48 is: 382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.61 : 575.67 = 277.48 : x
  2. Step 2: Convert to fraction form
    417.61/575.67 = 277.48/x
  3. Step 3: Cross multiply
    417.61x = 575.67 × 277.48
  4. Step 4: Simplify right side
    417.61x = 159,736.91
  5. Step 5: Solve for x
    x = 159,736.91/417.61
  6. Step 6: Final answer
    x = 382.50

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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.