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Finding the Fourth Proportional to 388.46, 582.74 and 172.01

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Solution

The fourth proportional to 388.46, 582.74 and 172.01 is: 258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.46 : 582.74 = 172.01 : x
  2. Step 2: Convert to fraction form
    388.46/582.74 = 172.01/x
  3. Step 3: Cross multiply
    388.46x = 582.74 × 172.01
  4. Step 4: Simplify right side
    388.46x = 100,237.11
  5. Step 5: Solve for x
    x = 100,237.11/388.46
  6. Step 6: Final answer
    x = 258.04

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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.