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Finding the Fourth Proportional to 345.24, 514.98 and 344.16

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Solution

The fourth proportional to 345.24, 514.98 and 344.16 is: 513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.24 : 514.98 = 344.16 : x
  2. Step 2: Convert to fraction form
    345.24/514.98 = 344.16/x
  3. Step 3: Cross multiply
    345.24x = 514.98 × 344.16
  4. Step 4: Simplify right side
    345.24x = 177,235.52
  5. Step 5: Solve for x
    x = 177,235.52/345.24
  6. Step 6: Final answer
    x = 513.37

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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.