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Finding the Fourth Proportional to 363.95, 548.36 and 315.35

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Solution

The fourth proportional to 363.95, 548.36 and 315.35 is: 475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.95 : 548.36 = 315.35 : x
  2. Step 2: Convert to fraction form
    363.95/548.36 = 315.35/x
  3. Step 3: Cross multiply
    363.95x = 548.36 × 315.35
  4. Step 4: Simplify right side
    363.95x = 172,925.33
  5. Step 5: Solve for x
    x = 172,925.33/363.95
  6. Step 6: Final answer
    x = 475.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.