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Finding the Fourth Proportional to 357.30, 535.68 and 183.87

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Solution

The fourth proportional to 357.30, 535.68 and 183.87 is: 275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.30 : 535.68 = 183.87 : x
  2. Step 2: Convert to fraction form
    357.30/535.68 = 183.87/x
  3. Step 3: Cross multiply
    357.30x = 535.68 × 183.87
  4. Step 4: Simplify right side
    357.30x = 98,495.48
  5. Step 5: Solve for x
    x = 98,495.48/357.30
  6. Step 6: Final answer
    x = 275.67

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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.