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Finding the Fourth Proportional to 319.14, 442.53 and 313.20

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Solution

The fourth proportional to 319.14, 442.53 and 313.20 is: 434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 442.53 = 313.20 : x
  2. Step 2: Convert to fraction form
    319.14/442.53 = 313.20/x
  3. Step 3: Cross multiply
    319.14x = 442.53 × 313.20
  4. Step 4: Simplify right side
    319.14x = 138,600.40
  5. Step 5: Solve for x
    x = 138,600.40/319.14
  6. Step 6: Final answer
    x = 434.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.