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Finding the Fourth Proportional to 406.42, 557.53 and 395.63

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Solution

The fourth proportional to 406.42, 557.53 and 395.63 is: 542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 557.53 = 395.63 : x
  2. Step 2: Convert to fraction form
    406.42/557.53 = 395.63/x
  3. Step 3: Cross multiply
    406.42x = 557.53 × 395.63
  4. Step 4: Simplify right side
    406.42x = 220,579.27
  5. Step 5: Solve for x
    x = 220,579.27/406.42
  6. Step 6: Final answer
    x = 542.74

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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.