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Finding the Fourth Proportional to 342.69, 512.00 and 302.55

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Solution

The fourth proportional to 342.69, 512.00 and 302.55 is: 452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.69 : 512.00 = 302.55 : x
  2. Step 2: Convert to fraction form
    342.69/512.00 = 302.55/x
  3. Step 3: Cross multiply
    342.69x = 512.00 × 302.55
  4. Step 4: Simplify right side
    342.69x = 154,904.09
  5. Step 5: Solve for x
    x = 154,904.09/342.69
  6. Step 6: Final answer
    x = 452.02

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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.