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Finding the Fourth Proportional to 318.62, 474.72 and 297.66

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Solution

The fourth proportional to 318.62, 474.72 and 297.66 is: 443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.62 : 474.72 = 297.66 : x
  2. Step 2: Convert to fraction form
    318.62/474.72 = 297.66/x
  3. Step 3: Cross multiply
    318.62x = 474.72 × 297.66
  4. Step 4: Simplify right side
    318.62x = 141,305.16
  5. Step 5: Solve for x
    x = 141,305.16/318.62
  6. Step 6: Final answer
    x = 443.50

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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.