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Finding the Fourth Proportional to 417.42, 575.88 and 275.66

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Solution

The fourth proportional to 417.42, 575.88 and 275.66 is: 380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 575.88 = 275.66 : x
  2. Step 2: Convert to fraction form
    417.42/575.88 = 275.66/x
  3. Step 3: Cross multiply
    417.42x = 575.88 × 275.66
  4. Step 4: Simplify right side
    417.42x = 158,747.08
  5. Step 5: Solve for x
    x = 158,747.08/417.42
  6. Step 6: Final answer
    x = 380.31

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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.