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Finding the Fourth Proportional to 470.40, 649.08 and 293.40

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Solution

The fourth proportional to 470.40, 649.08 and 293.40 is: 404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 649.08 = 293.40 : x
  2. Step 2: Convert to fraction form
    470.40/649.08 = 293.40/x
  3. Step 3: Cross multiply
    470.40x = 649.08 × 293.40
  4. Step 4: Simplify right side
    470.40x = 190,440.07
  5. Step 5: Solve for x
    x = 190,440.07/470.40
  6. Step 6: Final answer
    x = 404.85

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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.