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Finding the Fourth Proportional to 515.21, 711.32 and 319.01

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Solution

The fourth proportional to 515.21, 711.32 and 319.01 is: 440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.21 : 711.32 = 319.01 : x
  2. Step 2: Convert to fraction form
    515.21/711.32 = 319.01/x
  3. Step 3: Cross multiply
    515.21x = 711.32 × 319.01
  4. Step 4: Simplify right side
    515.21x = 226,913.04
  5. Step 5: Solve for x
    x = 226,913.04/515.21
  6. Step 6: Final answer
    x = 440.43

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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.