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Finding the Fourth Proportional to 357.82, 534.32 and 306.40

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Solution

The fourth proportional to 357.82, 534.32 and 306.40 is: 457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.82 : 534.32 = 306.40 : x
  2. Step 2: Convert to fraction form
    357.82/534.32 = 306.40/x
  3. Step 3: Cross multiply
    357.82x = 534.32 × 306.40
  4. Step 4: Simplify right side
    357.82x = 163,715.65
  5. Step 5: Solve for x
    x = 163,715.65/357.82
  6. Step 6: Final answer
    x = 457.54

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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.