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Finding the Fourth Proportional to 179.93, 267.54 and 172.64

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Solution

The fourth proportional to 179.93, 267.54 and 172.64 is: 256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.93 : 267.54 = 172.64 : x
  2. Step 2: Convert to fraction form
    179.93/267.54 = 172.64/x
  3. Step 3: Cross multiply
    179.93x = 267.54 × 172.64
  4. Step 4: Simplify right side
    179.93x = 46,188.11
  5. Step 5: Solve for x
    x = 46,188.11/179.93
  6. Step 6: Final answer
    x = 256.70

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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.