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Finding the Fourth Proportional to 177.02, 264.72 and 172.70

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Solution

The fourth proportional to 177.02, 264.72 and 172.70 is: 258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.02 : 264.72 = 172.70 : x
  2. Step 2: Convert to fraction form
    177.02/264.72 = 172.70/x
  3. Step 3: Cross multiply
    177.02x = 264.72 × 172.70
  4. Step 4: Simplify right side
    177.02x = 45,717.14
  5. Step 5: Solve for x
    x = 45,717.14/177.02
  6. Step 6: Final answer
    x = 258.26

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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.