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Finding the Fourth Proportional to 405.41, 610.17 and 303.24

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Solution

The fourth proportional to 405.41, 610.17 and 303.24 is: 456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.41 : 610.17 = 303.24 : x
  2. Step 2: Convert to fraction form
    405.41/610.17 = 303.24/x
  3. Step 3: Cross multiply
    405.41x = 610.17 × 303.24
  4. Step 4: Simplify right side
    405.41x = 185,027.95
  5. Step 5: Solve for x
    x = 185,027.95/405.41
  6. Step 6: Final answer
    x = 456.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.