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Finding the Fourth Proportional to 318.06, 474.69 and 297.54

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Solution

The fourth proportional to 318.06, 474.69 and 297.54 is: 444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.06 : 474.69 = 297.54 : x
  2. Step 2: Convert to fraction form
    318.06/474.69 = 297.54/x
  3. Step 3: Cross multiply
    318.06x = 474.69 × 297.54
  4. Step 4: Simplify right side
    318.06x = 141,239.26
  5. Step 5: Solve for x
    x = 141,239.26/318.06
  6. Step 6: Final answer
    x = 444.06

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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.