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Finding the Fourth Proportional to 301.66, 452.10 and 171.60

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Solution

The fourth proportional to 301.66, 452.10 and 171.60 is: 257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.66 : 452.10 = 171.60 : x
  2. Step 2: Convert to fraction form
    301.66/452.10 = 171.60/x
  3. Step 3: Cross multiply
    301.66x = 452.10 × 171.60
  4. Step 4: Simplify right side
    301.66x = 77,580.36
  5. Step 5: Solve for x
    x = 77,580.36/301.66
  6. Step 6: Final answer
    x = 257.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.