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Finding the Fourth Proportional to 470.40, 648.16 and 359.68

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Solution

The fourth proportional to 470.40, 648.16 and 359.68 is: 495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 648.16 = 359.68 : x
  2. Step 2: Convert to fraction form
    470.40/648.16 = 359.68/x
  3. Step 3: Cross multiply
    470.40x = 648.16 × 359.68
  4. Step 4: Simplify right side
    470.40x = 233,130.19
  5. Step 5: Solve for x
    x = 233,130.19/470.40
  6. Step 6: Final answer
    x = 495.60

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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.