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Finding the Fourth Proportional to 340.24, 470.03 and 270.07

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Solution

The fourth proportional to 340.24, 470.03 and 270.07 is: 373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.24 : 470.03 = 270.07 : x
  2. Step 2: Convert to fraction form
    340.24/470.03 = 270.07/x
  3. Step 3: Cross multiply
    340.24x = 470.03 × 270.07
  4. Step 4: Simplify right side
    340.24x = 126,941.00
  5. Step 5: Solve for x
    x = 126,941.00/340.24
  6. Step 6: Final answer
    x = 373.09

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Why These Related Problems?

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