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Finding the Fourth Proportional to 344.79, 514.11 and 340.54

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Solution

The fourth proportional to 344.79, 514.11 and 340.54 is: 507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.79 : 514.11 = 340.54 : x
  2. Step 2: Convert to fraction form
    344.79/514.11 = 340.54/x
  3. Step 3: Cross multiply
    344.79x = 514.11 × 340.54
  4. Step 4: Simplify right side
    344.79x = 175,075.01
  5. Step 5: Solve for x
    x = 175,075.01/344.79
  6. Step 6: Final answer
    x = 507.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.