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Finding the Fourth Proportional to 295.35, 407.73 and 202.13

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Solution

The fourth proportional to 295.35, 407.73 and 202.13 is: 279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.35 : 407.73 = 202.13 : x
  2. Step 2: Convert to fraction form
    295.35/407.73 = 202.13/x
  3. Step 3: Cross multiply
    295.35x = 407.73 × 202.13
  4. Step 4: Simplify right side
    295.35x = 82,412.43
  5. Step 5: Solve for x
    x = 82,412.43/295.35
  6. Step 6: Final answer
    x = 279.03

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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.