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Finding the Fourth Proportional to 342.05, 513.08 and 256.46

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Solution

The fourth proportional to 342.05, 513.08 and 256.46 is: 384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.05 : 513.08 = 256.46 : x
  2. Step 2: Convert to fraction form
    342.05/513.08 = 256.46/x
  3. Step 3: Cross multiply
    342.05x = 513.08 × 256.46
  4. Step 4: Simplify right side
    342.05x = 131,583.21
  5. Step 5: Solve for x
    x = 131,583.21/342.05
  6. Step 6: Final answer
    x = 384.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.