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Finding the Fourth Proportional to 405.48, 559.77 and 275.16

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Solution

The fourth proportional to 405.48, 559.77 and 275.16 is: 379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.48 : 559.77 = 275.16 : x
  2. Step 2: Convert to fraction form
    405.48/559.77 = 275.16/x
  3. Step 3: Cross multiply
    405.48x = 559.77 × 275.16
  4. Step 4: Simplify right side
    405.48x = 154,026.31
  5. Step 5: Solve for x
    x = 154,026.31/405.48
  6. Step 6: Final answer
    x = 379.86

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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.