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Finding the Fourth Proportional to 295.13, 406.35 and 250.77

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Solution

The fourth proportional to 295.13, 406.35 and 250.77 is: 345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.13 : 406.35 = 250.77 : x
  2. Step 2: Convert to fraction form
    295.13/406.35 = 250.77/x
  3. Step 3: Cross multiply
    295.13x = 406.35 × 250.77
  4. Step 4: Simplify right side
    295.13x = 101,900.39
  5. Step 5: Solve for x
    x = 101,900.39/295.13
  6. Step 6: Final answer
    x = 345.28

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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.