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Finding the Fourth Proportional to 405.40, 559.06 and 270.54

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Solution

The fourth proportional to 405.40, 559.06 and 270.54 is: 373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.40 : 559.06 = 270.54 : x
  2. Step 2: Convert to fraction form
    405.40/559.06 = 270.54/x
  3. Step 3: Cross multiply
    405.40x = 559.06 × 270.54
  4. Step 4: Simplify right side
    405.40x = 151,248.09
  5. Step 5: Solve for x
    x = 151,248.09/405.40
  6. Step 6: Final answer
    x = 373.08

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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.