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Finding the Fourth Proportional to 359.14, 494.62 and 312.50

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Solution

The fourth proportional to 359.14, 494.62 and 312.50 is: 430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.14 : 494.62 = 312.50 : x
  2. Step 2: Convert to fraction form
    359.14/494.62 = 312.50/x
  3. Step 3: Cross multiply
    359.14x = 494.62 × 312.50
  4. Step 4: Simplify right side
    359.14x = 154,565.50
  5. Step 5: Solve for x
    x = 154,565.50/359.14
  6. Step 6: Final answer
    x = 430.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.