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Finding the Fourth Proportional to 405.22, 559.38 and 311.93

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Solution

The fourth proportional to 405.22, 559.38 and 311.93 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.22 : 559.38 = 311.93 : x
  2. Step 2: Convert to fraction form
    405.22/559.38 = 311.93/x
  3. Step 3: Cross multiply
    405.22x = 559.38 × 311.93
  4. Step 4: Simplify right side
    405.22x = 174,484.61
  5. Step 5: Solve for x
    x = 174,484.61/405.22
  6. Step 6: Final answer
    x = 430.60

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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.