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Finding the Fourth Proportional to 320.17, 442.39 and 247.12

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Solution

The fourth proportional to 320.17, 442.39 and 247.12 is: 341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.17 : 442.39 = 247.12 : x
  2. Step 2: Convert to fraction form
    320.17/442.39 = 247.12/x
  3. Step 3: Cross multiply
    320.17x = 442.39 × 247.12
  4. Step 4: Simplify right side
    320.17x = 109,323.42
  5. Step 5: Solve for x
    x = 109,323.42/320.17
  6. Step 6: Final answer
    x = 341.45

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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.