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Finding the Fourth Proportional to 373.71, 514.67 and 365.64

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Solution

The fourth proportional to 373.71, 514.67 and 365.64 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.71 : 514.67 = 365.64 : x
  2. Step 2: Convert to fraction form
    373.71/514.67 = 365.64/x
  3. Step 3: Cross multiply
    373.71x = 514.67 × 365.64
  4. Step 4: Simplify right side
    373.71x = 188,181.37
  5. Step 5: Solve for x
    x = 188,181.37/373.71
  6. Step 6: Final answer
    x = 503.56

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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.