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Finding the Fourth Proportional to 357.30, 533.70 and 306.09

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Solution

The fourth proportional to 357.30, 533.70 and 306.09 is: 457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.30 : 533.70 = 306.09 : x
  2. Step 2: Convert to fraction form
    357.30/533.70 = 306.09/x
  3. Step 3: Cross multiply
    357.30x = 533.70 × 306.09
  4. Step 4: Simplify right side
    357.30x = 163,360.23
  5. Step 5: Solve for x
    x = 163,360.23/357.30
  6. Step 6: Final answer
    x = 457.21

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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.