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Finding the Fourth Proportional to 405.72, 606.17 and 336.47

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Solution

The fourth proportional to 405.72, 606.17 and 336.47 is: 502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.72 : 606.17 = 336.47 : x
  2. Step 2: Convert to fraction form
    405.72/606.17 = 336.47/x
  3. Step 3: Cross multiply
    405.72x = 606.17 × 336.47
  4. Step 4: Simplify right side
    405.72x = 203,955.83
  5. Step 5: Solve for x
    x = 203,955.83/405.72
  6. Step 6: Final answer
    x = 502.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.