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Finding the Fourth Proportional to 342.19, 509.99 and 333.55

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Solution

The fourth proportional to 342.19, 509.99 and 333.55 is: 497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.19 : 509.99 = 333.55 : x
  2. Step 2: Convert to fraction form
    342.19/509.99 = 333.55/x
  3. Step 3: Cross multiply
    342.19x = 509.99 × 333.55
  4. Step 4: Simplify right side
    342.19x = 170,107.16
  5. Step 5: Solve for x
    x = 170,107.16/342.19
  6. Step 6: Final answer
    x = 497.11

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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.