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Finding the Fourth Proportional to 357.21, 535.83 and 305.53

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Solution

The fourth proportional to 357.21, 535.83 and 305.53 is: 458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 535.83 = 305.53 : x
  2. Step 2: Convert to fraction form
    357.21/535.83 = 305.53/x
  3. Step 3: Cross multiply
    357.21x = 535.83 × 305.53
  4. Step 4: Simplify right side
    357.21x = 163,712.14
  5. Step 5: Solve for x
    x = 163,712.14/357.21
  6. Step 6: Final answer
    x = 458.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.