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Finding the Fourth Proportional to 359.46, 534.98 and 357.30

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Solution

The fourth proportional to 359.46, 534.98 and 357.30 is: 531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.46 : 534.98 = 357.30 : x
  2. Step 2: Convert to fraction form
    359.46/534.98 = 357.30/x
  3. Step 3: Cross multiply
    359.46x = 534.98 × 357.30
  4. Step 4: Simplify right side
    359.46x = 191,149.25
  5. Step 5: Solve for x
    x = 191,149.25/359.46
  6. Step 6: Final answer
    x = 531.77

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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.