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Finding the Fourth Proportional to 342.17, 512.07 and 284.50

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Solution

The fourth proportional to 342.17, 512.07 and 284.50 is: 425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.17 : 512.07 = 284.50 : x
  2. Step 2: Convert to fraction form
    342.17/512.07 = 284.50/x
  3. Step 3: Cross multiply
    342.17x = 512.07 × 284.50
  4. Step 4: Simplify right side
    342.17x = 145,683.92
  5. Step 5: Solve for x
    x = 145,683.92/342.17
  6. Step 6: Final answer
    x = 425.76

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Why These Related Problems?

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