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Finding the Fourth Proportional to 357.65, 535.44 and 302.81

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Solution

The fourth proportional to 357.65, 535.44 and 302.81 is: 453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.65 : 535.44 = 302.81 : x
  2. Step 2: Convert to fraction form
    357.65/535.44 = 302.81/x
  3. Step 3: Cross multiply
    357.65x = 535.44 × 302.81
  4. Step 4: Simplify right side
    357.65x = 162,136.59
  5. Step 5: Solve for x
    x = 162,136.59/357.65
  6. Step 6: Final answer
    x = 453.34

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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.