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Finding the Fourth Proportional to 405.31, 608.20 and 337.66

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Solution

The fourth proportional to 405.31, 608.20 and 337.66 is: 506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.31 : 608.20 = 337.66 : x
  2. Step 2: Convert to fraction form
    405.31/608.20 = 337.66/x
  3. Step 3: Cross multiply
    405.31x = 608.20 × 337.66
  4. Step 4: Simplify right side
    405.31x = 205,364.81
  5. Step 5: Solve for x
    x = 205,364.81/405.31
  6. Step 6: Final answer
    x = 506.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.