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Finding the Fourth Proportional to 185.04, 275.94 and 172.08

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Solution

The fourth proportional to 185.04, 275.94 and 172.08 is: 256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.04 : 275.94 = 172.08 : x
  2. Step 2: Convert to fraction form
    185.04/275.94 = 172.08/x
  3. Step 3: Cross multiply
    185.04x = 275.94 × 172.08
  4. Step 4: Simplify right side
    185.04x = 47,483.76
  5. Step 5: Solve for x
    x = 47,483.76/185.04
  6. Step 6: Final answer
    x = 256.61

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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.