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Finding the Fourth Proportional to 321.30, 482.16 and 175.34

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Solution

The fourth proportional to 321.30, 482.16 and 175.34 is: 263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.30 : 482.16 = 175.34 : x
  2. Step 2: Convert to fraction form
    321.30/482.16 = 175.34/x
  3. Step 3: Cross multiply
    321.30x = 482.16 × 175.34
  4. Step 4: Simplify right side
    321.30x = 84,541.93
  5. Step 5: Solve for x
    x = 84,541.93/321.30
  6. Step 6: Final answer
    x = 263.12

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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.