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Finding the Fourth Proportional to 357.87, 538.94 and 315

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Solution

The fourth proportional to 357.87, 538.94 and 315 is: 474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.87 : 538.94 = 315 : x
  2. Step 2: Convert to fraction form
    357.87/538.94 = 315/x
  3. Step 3: Cross multiply
    357.87x = 538.94 × 315
  4. Step 4: Simplify right side
    357.87x = 169,766.10
  5. Step 5: Solve for x
    x = 169,766.10/357.87
  6. Step 6: Final answer
    x = 474.38

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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.