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Finding the Fourth Proportional to 357.52, 493.08 and 233.12

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Solution

The fourth proportional to 357.52, 493.08 and 233.12 is: 321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.52 : 493.08 = 233.12 : x
  2. Step 2: Convert to fraction form
    357.52/493.08 = 233.12/x
  3. Step 3: Cross multiply
    357.52x = 493.08 × 233.12
  4. Step 4: Simplify right side
    357.52x = 114,946.81
  5. Step 5: Solve for x
    x = 114,946.81/357.52
  6. Step 6: Final answer
    x = 321.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.