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Finding the Fourth Proportional to 358.34, 535.15 and 309.69

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Solution

The fourth proportional to 358.34, 535.15 and 309.69 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.34 : 535.15 = 309.69 : x
  2. Step 2: Convert to fraction form
    358.34/535.15 = 309.69/x
  3. Step 3: Cross multiply
    358.34x = 535.15 × 309.69
  4. Step 4: Simplify right side
    358.34x = 165,729.83
  5. Step 5: Solve for x
    x = 165,729.83/358.34
  6. Step 6: Final answer
    x = 462.49

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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.