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Finding the Fourth Proportional to 320.42, 442.10 and 232.03

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Solution

The fourth proportional to 320.42, 442.10 and 232.03 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.42 : 442.10 = 232.03 : x
  2. Step 2: Convert to fraction form
    320.42/442.10 = 232.03/x
  3. Step 3: Cross multiply
    320.42x = 442.10 × 232.03
  4. Step 4: Simplify right side
    320.42x = 102,580.46
  5. Step 5: Solve for x
    x = 102,580.46/320.42
  6. Step 6: Final answer
    x = 320.14

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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.