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Finding the Fourth Proportional to 342.34, 512.91 and 204.98

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Solution

The fourth proportional to 342.34, 512.91 and 204.98 is: 307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.34 : 512.91 = 204.98 : x
  2. Step 2: Convert to fraction form
    342.34/512.91 = 204.98/x
  3. Step 3: Cross multiply
    342.34x = 512.91 × 204.98
  4. Step 4: Simplify right side
    342.34x = 105,136.29
  5. Step 5: Solve for x
    x = 105,136.29/342.34
  6. Step 6: Final answer
    x = 307.11

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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.