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Finding the Fourth Proportional to 405.80, 555.34 and 401.48

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Solution

The fourth proportional to 405.80, 555.34 and 401.48 is: 549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.80 : 555.34 = 401.48 : x
  2. Step 2: Convert to fraction form
    405.80/555.34 = 401.48/x
  3. Step 3: Cross multiply
    405.80x = 555.34 × 401.48
  4. Step 4: Simplify right side
    405.80x = 222,957.90
  5. Step 5: Solve for x
    x = 222,957.90/405.80
  6. Step 6: Final answer
    x = 549.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.