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Finding the Fourth Proportional to 359.19, 534.58 and 346.23

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Solution

The fourth proportional to 359.19, 534.58 and 346.23 is: 515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.19 : 534.58 = 346.23 : x
  2. Step 2: Convert to fraction form
    359.19/534.58 = 346.23/x
  3. Step 3: Cross multiply
    359.19x = 534.58 × 346.23
  4. Step 4: Simplify right side
    359.19x = 185,086.77
  5. Step 5: Solve for x
    x = 185,086.77/359.19
  6. Step 6: Final answer
    x = 515.29

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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.