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Finding the Fourth Proportional to 189.03, 284.74 and 172.02

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Solution

The fourth proportional to 189.03, 284.74 and 172.02 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.03 : 284.74 = 172.02 : x
  2. Step 2: Convert to fraction form
    189.03/284.74 = 172.02/x
  3. Step 3: Cross multiply
    189.03x = 284.74 × 172.02
  4. Step 4: Simplify right side
    189.03x = 48,980.97
  5. Step 5: Solve for x
    x = 48,980.97/189.03
  6. Step 6: Final answer
    x = 259.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.