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Finding the Fourth Proportional to 177.33, 264.48 and 172.20

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Solution

The fourth proportional to 177.33, 264.48 and 172.20 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.33 : 264.48 = 172.20 : x
  2. Step 2: Convert to fraction form
    177.33/264.48 = 172.20/x
  3. Step 3: Cross multiply
    177.33x = 264.48 × 172.20
  4. Step 4: Simplify right side
    177.33x = 45,543.46
  5. Step 5: Solve for x
    x = 45,543.46/177.33
  6. Step 6: Final answer
    x = 256.83

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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.