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Finding the Fourth Proportional to 406.62, 558.19 and 373.81

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Solution

The fourth proportional to 406.62, 558.19 and 373.81 is: 513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 558.19 = 373.81 : x
  2. Step 2: Convert to fraction form
    406.62/558.19 = 373.81/x
  3. Step 3: Cross multiply
    406.62x = 558.19 × 373.81
  4. Step 4: Simplify right side
    406.62x = 208,657.94
  5. Step 5: Solve for x
    x = 208,657.94/406.62
  6. Step 6: Final answer
    x = 513.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.