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Finding the Fourth Proportional to 342.58, 512.08 and 255.10

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Solution

The fourth proportional to 342.58, 512.08 and 255.10 is: 381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.58 : 512.08 = 255.10 : x
  2. Step 2: Convert to fraction form
    342.58/512.08 = 255.10/x
  3. Step 3: Cross multiply
    342.58x = 512.08 × 255.10
  4. Step 4: Simplify right side
    342.58x = 130,631.61
  5. Step 5: Solve for x
    x = 130,631.61/342.58
  6. Step 6: Final answer
    x = 381.32

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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.