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Finding the Fourth Proportional to 358.19, 535.10 and 233.78

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Solution

The fourth proportional to 358.19, 535.10 and 233.78 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.19 : 535.10 = 233.78 : x
  2. Step 2: Convert to fraction form
    358.19/535.10 = 233.78/x
  3. Step 3: Cross multiply
    358.19x = 535.10 × 233.78
  4. Step 4: Simplify right side
    358.19x = 125,095.68
  5. Step 5: Solve for x
    x = 125,095.68/358.19
  6. Step 6: Final answer
    x = 349.24

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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.