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Finding the Fourth Proportional to 374.32, 514.85 and 300.47

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Solution

The fourth proportional to 374.32, 514.85 and 300.47 is: 413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.32 : 514.85 = 300.47 : x
  2. Step 2: Convert to fraction form
    374.32/514.85 = 300.47/x
  3. Step 3: Cross multiply
    374.32x = 514.85 × 300.47
  4. Step 4: Simplify right side
    374.32x = 154,696.76
  5. Step 5: Solve for x
    x = 154,696.76/374.32
  6. Step 6: Final answer
    x = 413.28

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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.