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Finding the Fourth Proportional to 373.02, 514.49 and 314.33

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Solution

The fourth proportional to 373.02, 514.49 and 314.33 is: 433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.02 : 514.49 = 314.33 : x
  2. Step 2: Convert to fraction form
    373.02/514.49 = 314.33/x
  3. Step 3: Cross multiply
    373.02x = 514.49 × 314.33
  4. Step 4: Simplify right side
    373.02x = 161,715.50
  5. Step 5: Solve for x
    x = 161,715.50/373.02
  6. Step 6: Final answer
    x = 433.54

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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.