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Finding the Fourth Proportional to 295.18, 407.28 and 251.09

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Solution

The fourth proportional to 295.18, 407.28 and 251.09 is: 346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.18 : 407.28 = 251.09 : x
  2. Step 2: Convert to fraction form
    295.18/407.28 = 251.09/x
  3. Step 3: Cross multiply
    295.18x = 407.28 × 251.09
  4. Step 4: Simplify right side
    295.18x = 102,263.94
  5. Step 5: Solve for x
    x = 102,263.94/295.18
  6. Step 6: Final answer
    x = 346.45

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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.