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Finding the Fourth Proportional to 359.46, 535.51 and 346.40

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Solution

The fourth proportional to 359.46, 535.51 and 346.40 is: 516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 535.51 = 346.40 : x
  2. Step 2: Convert to fraction form
    359.46/535.51 = 346.40/x
  3. Step 3: Cross multiply
    359.46x = 535.51 × 346.40
  4. Step 4: Simplify right side
    359.46x = 185,497.12
  5. Step 5: Solve for x
    x = 185,497.12/359.46
  6. Step 6: Final answer
    x = 516.04

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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.