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Finding the Fourth Proportional to 319.10, 476.36 and 297.83

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Solution

The fourth proportional to 319.10, 476.36 and 297.83 is: 444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 476.36 = 297.83 : x
  2. Step 2: Convert to fraction form
    319.10/476.36 = 297.83/x
  3. Step 3: Cross multiply
    319.10x = 476.36 × 297.83
  4. Step 4: Simplify right side
    319.10x = 141,871.54
  5. Step 5: Solve for x
    x = 141,871.54/319.10
  6. Step 6: Final answer
    x = 444.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.