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Finding the Fourth Proportional to 406.37, 560.31 and 295.89

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Solution

The fourth proportional to 406.37, 560.31 and 295.89 is: 407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.37 : 560.31 = 295.89 : x
  2. Step 2: Convert to fraction form
    406.37/560.31 = 295.89/x
  3. Step 3: Cross multiply
    406.37x = 560.31 × 295.89
  4. Step 4: Simplify right side
    406.37x = 165,790.13
  5. Step 5: Solve for x
    x = 165,790.13/406.37
  6. Step 6: Final answer
    x = 407.98

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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.