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Finding the Fourth Proportional to 342.38, 515.94 and 285.89

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Solution

The fourth proportional to 342.38, 515.94 and 285.89 is: 430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.38 : 515.94 = 285.89 : x
  2. Step 2: Convert to fraction form
    342.38/515.94 = 285.89/x
  3. Step 3: Cross multiply
    342.38x = 515.94 × 285.89
  4. Step 4: Simplify right side
    342.38x = 147,499.51
  5. Step 5: Solve for x
    x = 147,499.51/342.38
  6. Step 6: Final answer
    x = 430.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.