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Finding the Fourth Proportional to 238.10, 355.68 and 172.53

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Solution

The fourth proportional to 238.10, 355.68 and 172.53 is: 257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.10 : 355.68 = 172.53 : x
  2. Step 2: Convert to fraction form
    238.10/355.68 = 172.53/x
  3. Step 3: Cross multiply
    238.10x = 355.68 × 172.53
  4. Step 4: Simplify right side
    238.10x = 61,365.47
  5. Step 5: Solve for x
    x = 61,365.47/238.10
  6. Step 6: Final answer
    x = 257.74

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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.