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Finding the Fourth Proportional to 514.19, 770.13 and 239.87

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Solution

The fourth proportional to 514.19, 770.13 and 239.87 is: 359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.19 : 770.13 = 239.87 : x
  2. Step 2: Convert to fraction form
    514.19/770.13 = 239.87/x
  3. Step 3: Cross multiply
    514.19x = 770.13 × 239.87
  4. Step 4: Simplify right side
    514.19x = 184,727.23
  5. Step 5: Solve for x
    x = 184,727.23/514.19
  6. Step 6: Final answer
    x = 359.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.