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Finding the Fourth Proportional to 406.39, 560.48 and 258.77

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Solution

The fourth proportional to 406.39, 560.48 and 258.77 is: 356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.39 : 560.48 = 258.77 : x
  2. Step 2: Convert to fraction form
    406.39/560.48 = 258.77/x
  3. Step 3: Cross multiply
    406.39x = 560.48 × 258.77
  4. Step 4: Simplify right side
    406.39x = 145,033.25
  5. Step 5: Solve for x
    x = 145,033.25/406.39
  6. Step 6: Final answer
    x = 356.88

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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.