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Finding the Fourth Proportional to 357.16, 535.52 and 172.01

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Solution

The fourth proportional to 357.16, 535.52 and 172.01 is: 257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.16 : 535.52 = 172.01 : x
  2. Step 2: Convert to fraction form
    357.16/535.52 = 172.01/x
  3. Step 3: Cross multiply
    357.16x = 535.52 × 172.01
  4. Step 4: Simplify right side
    357.16x = 92,114.80
  5. Step 5: Solve for x
    x = 92,114.80/357.16
  6. Step 6: Final answer
    x = 257.91

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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.