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Finding the Fourth Proportional to 340.50, 470.04 and 278.99

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Solution

The fourth proportional to 340.50, 470.04 and 278.99 is: 385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 470.04 = 278.99 : x
  2. Step 2: Convert to fraction form
    340.50/470.04 = 278.99/x
  3. Step 3: Cross multiply
    340.50x = 470.04 × 278.99
  4. Step 4: Simplify right side
    340.50x = 131,136.46
  5. Step 5: Solve for x
    x = 131,136.46/340.50
  6. Step 6: Final answer
    x = 385.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.