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Finding the Fourth Proportional to 303.02, 454.02 and 172.94

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Solution

The fourth proportional to 303.02, 454.02 and 172.94 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.02 : 454.02 = 172.94 : x
  2. Step 2: Convert to fraction form
    303.02/454.02 = 172.94/x
  3. Step 3: Cross multiply
    303.02x = 454.02 × 172.94
  4. Step 4: Simplify right side
    303.02x = 78,518.22
  5. Step 5: Solve for x
    x = 78,518.22/303.02
  6. Step 6: Final answer
    x = 259.12

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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.