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Finding the Fourth Proportional to 319.13, 474.88 and 318.05

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Solution

The fourth proportional to 319.13, 474.88 and 318.05 is: 473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.13 : 474.88 = 318.05 : x
  2. Step 2: Convert to fraction form
    319.13/474.88 = 318.05/x
  3. Step 3: Cross multiply
    319.13x = 474.88 × 318.05
  4. Step 4: Simplify right side
    319.13x = 151,033.99
  5. Step 5: Solve for x
    x = 151,033.99/319.13
  6. Step 6: Final answer
    x = 473.27

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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.