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Finding the Fourth Proportional to 357.63, 493.44 and 215.78

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Solution

The fourth proportional to 357.63, 493.44 and 215.78 is: 297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.63 : 493.44 = 215.78 : x
  2. Step 2: Convert to fraction form
    357.63/493.44 = 215.78/x
  3. Step 3: Cross multiply
    357.63x = 493.44 × 215.78
  4. Step 4: Simplify right side
    357.63x = 106,475.20
  5. Step 5: Solve for x
    x = 106,475.20/357.63
  6. Step 6: Final answer
    x = 297.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.