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Finding the Fourth Proportional to 406.83, 561.56 and 276.02

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Solution

The fourth proportional to 406.83, 561.56 and 276.02 is: 381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 561.56 = 276.02 : x
  2. Step 2: Convert to fraction form
    406.83/561.56 = 276.02/x
  3. Step 3: Cross multiply
    406.83x = 561.56 × 276.02
  4. Step 4: Simplify right side
    406.83x = 155,001.79
  5. Step 5: Solve for x
    x = 155,001.79/406.83
  6. Step 6: Final answer
    x = 381.00

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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.