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Finding the Fourth Proportional to 318.16, 474.96 and 295.60

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Solution

The fourth proportional to 318.16, 474.96 and 295.60 is: 441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 474.96 = 295.60 : x
  2. Step 2: Convert to fraction form
    318.16/474.96 = 295.60/x
  3. Step 3: Cross multiply
    318.16x = 474.96 × 295.60
  4. Step 4: Simplify right side
    318.16x = 140,398.18
  5. Step 5: Solve for x
    x = 140,398.18/318.16
  6. Step 6: Final answer
    x = 441.28

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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.