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Finding the Fourth Proportional to 202.63, 302.51 and 171.88

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Solution

The fourth proportional to 202.63, 302.51 and 171.88 is: 256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.63 : 302.51 = 171.88 : x
  2. Step 2: Convert to fraction form
    202.63/302.51 = 171.88/x
  3. Step 3: Cross multiply
    202.63x = 302.51 × 171.88
  4. Step 4: Simplify right side
    202.63x = 51,995.42
  5. Step 5: Solve for x
    x = 51,995.42/202.63
  6. Step 6: Final answer
    x = 256.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.