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Finding the Fourth Proportional to 374.75, 564.71 and 338.22

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Solution

The fourth proportional to 374.75, 564.71 and 338.22 is: 509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.75 : 564.71 = 338.22 : x
  2. Step 2: Convert to fraction form
    374.75/564.71 = 338.22/x
  3. Step 3: Cross multiply
    374.75x = 564.71 × 338.22
  4. Step 4: Simplify right side
    374.75x = 190,994.53
  5. Step 5: Solve for x
    x = 190,994.53/374.75
  6. Step 6: Final answer
    x = 509.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.