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Finding the Fourth Proportional to 345.68, 514.29 and 332.32

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Solution

The fourth proportional to 345.68, 514.29 and 332.32 is: 494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.68 : 514.29 = 332.32 : x
  2. Step 2: Convert to fraction form
    345.68/514.29 = 332.32/x
  3. Step 3: Cross multiply
    345.68x = 514.29 × 332.32
  4. Step 4: Simplify right side
    345.68x = 170,908.85
  5. Step 5: Solve for x
    x = 170,908.85/345.68
  6. Step 6: Final answer
    x = 494.41

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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.